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Finding the Fourth Proportional to 729.76, 1,006.44 and 508.60

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Solution

The fourth proportional to 729.76, 1,006.44 and 508.60 is: 701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.76 : 1,006.44 = 508.60 : x
  2. Step 2: Convert to fraction form
    729.76/1,006.44 = 508.60/x
  3. Step 3: Cross multiply
    729.76x = 1,006.44 × 508.60
  4. Step 4: Simplify right side
    729.76x = 511,875.38
  5. Step 5: Solve for x
    x = 511,875.38/729.76
  6. Step 6: Final answer
    x = 701.43

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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.