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Finding the Fourth Proportional to 765.08, 1,054.86 and 724.04

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Solution

The fourth proportional to 765.08, 1,054.86 and 724.04 is: 998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.08 : 1,054.86 = 724.04 : x
  2. Step 2: Convert to fraction form
    765.08/1,054.86 = 724.04/x
  3. Step 3: Cross multiply
    765.08x = 1,054.86 × 724.04
  4. Step 4: Simplify right side
    765.08x = 763,760.83
  5. Step 5: Solve for x
    x = 763,760.83/765.08
  6. Step 6: Final answer
    x = 998.28

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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.