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Finding the Fourth Proportional to 875.48, 1,319.22 and 724.79

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Solution

The fourth proportional to 875.48, 1,319.22 and 724.79 is: 1,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.48 : 1,319.22 = 724.79 : x
  2. Step 2: Convert to fraction form
    875.48/1,319.22 = 724.79/x
  3. Step 3: Cross multiply
    875.48x = 1,319.22 × 724.79
  4. Step 4: Simplify right side
    875.48x = 956,160.76
  5. Step 5: Solve for x
    x = 956,160.76/875.48
  6. Step 6: Final answer
    x = 1,092.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.