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Finding the Fourth Proportional to 1,166.91, 1,608.12 and 834.76

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Solution

The fourth proportional to 1,166.91, 1,608.12 and 834.76 is: 1,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.91 : 1,608.12 = 834.76 : x
  2. Step 2: Convert to fraction form
    1,166.91/1,608.12 = 834.76/x
  3. Step 3: Cross multiply
    1,166.91x = 1,608.12 × 834.76
  4. Step 4: Simplify right side
    1,166.91x = 1,342,396.26
  5. Step 5: Solve for x
    x = 1,342,396.26/1,166.91
  6. Step 6: Final answer
    x = 1,150.38

Related Problems

Find fourth proportional to 583.46, 804.06 and 417.38
Half scale
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Double scale
Find fourth proportional to 1,167.91, 1,609.50 and 835.76
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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.