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Finding the Fourth Proportional to 1,166.75, 1,610.06 and 669.34

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Solution

The fourth proportional to 1,166.75, 1,610.06 and 669.34 is: 923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.75 : 1,610.06 = 669.34 : x
  2. Step 2: Convert to fraction form
    1,166.75/1,610.06 = 669.34/x
  3. Step 3: Cross multiply
    1,166.75x = 1,610.06 × 669.34
  4. Step 4: Simplify right side
    1,166.75x = 1,077,677.56
  5. Step 5: Solve for x
    x = 1,077,677.56/1,166.75
  6. Step 6: Final answer
    x = 923.66

Related Problems

Find fourth proportional to 583.38, 805.03 and 334.67
Half scale
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Double scale
Find fourth proportional to 1,167.75, 1,611.44 and 670.34
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.