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Finding the Fourth Proportional to 729.77, 1,006.90 and 446.11

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Solution

The fourth proportional to 729.77, 1,006.90 and 446.11 is: 615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.77 : 1,006.90 = 446.11 : x
  2. Step 2: Convert to fraction form
    729.77/1,006.90 = 446.11/x
  3. Step 3: Cross multiply
    729.77x = 1,006.90 × 446.11
  4. Step 4: Simplify right side
    729.77x = 449,190.19
  5. Step 5: Solve for x
    x = 449,190.19/729.77
  6. Step 6: Final answer
    x = 615.52

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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.