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Finding the Fourth Proportional to 729.07, 1,006.44 and 507.94

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Solution

The fourth proportional to 729.07, 1,006.44 and 507.94 is: 701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.07 : 1,006.44 = 507.94 : x
  2. Step 2: Convert to fraction form
    729.07/1,006.44 = 507.94/x
  3. Step 3: Cross multiply
    729.07x = 1,006.44 × 507.94
  4. Step 4: Simplify right side
    729.07x = 511,211.13
  5. Step 5: Solve for x
    x = 511,211.13/729.07
  6. Step 6: Final answer
    x = 701.18

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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.