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Finding the Fourth Proportional to 1,669.42, 2,303.94 and 970.75

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Solution

The fourth proportional to 1,669.42, 2,303.94 and 970.75 is: 1,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.42 : 2,303.94 = 970.75 : x
  2. Step 2: Convert to fraction form
    1,669.42/2,303.94 = 970.75/x
  3. Step 3: Cross multiply
    1,669.42x = 2,303.94 × 970.75
  4. Step 4: Simplify right side
    1,669.42x = 2,236,549.76
  5. Step 5: Solve for x
    x = 2,236,549.76/1,669.42
  6. Step 6: Final answer
    x = 1,339.72

Related Problems

Find fourth proportional to 834.71, 1,151.97 and 485.38
Half scale
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Double scale
Find fourth proportional to 1,670.42, 2,305.32 and 971.75
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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.