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Finding the Fourth Proportional to 729.72, 1,006.18 and 480.96

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Solution

The fourth proportional to 729.72, 1,006.18 and 480.96 is: 663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.72 : 1,006.18 = 480.96 : x
  2. Step 2: Convert to fraction form
    729.72/1,006.18 = 480.96/x
  3. Step 3: Cross multiply
    729.72x = 1,006.18 × 480.96
  4. Step 4: Simplify right side
    729.72x = 483,932.33
  5. Step 5: Solve for x
    x = 483,932.33/729.72
  6. Step 6: Final answer
    x = 663.18

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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.