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Finding the Fourth Proportional to 729.51, 1,006.69 and 397.95

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Solution

The fourth proportional to 729.51, 1,006.69 and 397.95 is: 549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.51 : 1,006.69 = 397.95 : x
  2. Step 2: Convert to fraction form
    729.51/1,006.69 = 397.95/x
  3. Step 3: Cross multiply
    729.51x = 1,006.69 × 397.95
  4. Step 4: Simplify right side
    729.51x = 400,612.29
  5. Step 5: Solve for x
    x = 400,612.29/729.51
  6. Step 6: Final answer
    x = 549.15

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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.