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Finding the Fourth Proportional to 728.76, 1,005.86 and 449.17

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Solution

The fourth proportional to 728.76, 1,005.86 and 449.17 is: 619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.76 : 1,005.86 = 449.17 : x
  2. Step 2: Convert to fraction form
    728.76/1,005.86 = 449.17/x
  3. Step 3: Cross multiply
    728.76x = 1,005.86 × 449.17
  4. Step 4: Simplify right side
    728.76x = 451,802.14
  5. Step 5: Solve for x
    x = 451,802.14/728.76
  6. Step 6: Final answer
    x = 619.96

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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.