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Finding the Fourth Proportional to 729.38, 1,006.14 and 480.60

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Solution

The fourth proportional to 729.38, 1,006.14 and 480.60 is: 662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.38 : 1,006.14 = 480.60 : x
  2. Step 2: Convert to fraction form
    729.38/1,006.14 = 480.60/x
  3. Step 3: Cross multiply
    729.38x = 1,006.14 × 480.60
  4. Step 4: Simplify right side
    729.38x = 483,550.88
  5. Step 5: Solve for x
    x = 483,550.88/729.38
  6. Step 6: Final answer
    x = 662.96

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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.