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Finding the Fourth Proportional to 729.02, 1,005.62 and 449.38

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Solution

The fourth proportional to 729.02, 1,005.62 and 449.38 is: 619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.02 : 1,005.62 = 449.38 : x
  2. Step 2: Convert to fraction form
    729.02/1,005.62 = 449.38/x
  3. Step 3: Cross multiply
    729.02x = 1,005.62 × 449.38
  4. Step 4: Simplify right side
    729.02x = 451,905.52
  5. Step 5: Solve for x
    x = 451,905.52/729.02
  6. Step 6: Final answer
    x = 619.88

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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.