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Finding the Fourth Proportional to 729.65, 1,007.19 and 449.93

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Solution

The fourth proportional to 729.65, 1,007.19 and 449.93 is: 621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.65 : 1,007.19 = 449.93 : x
  2. Step 2: Convert to fraction form
    729.65/1,007.19 = 449.93/x
  3. Step 3: Cross multiply
    729.65x = 1,007.19 × 449.93
  4. Step 4: Simplify right side
    729.65x = 453,162.75
  5. Step 5: Solve for x
    x = 453,162.75/729.65
  6. Step 6: Final answer
    x = 621.07

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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.