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Finding the Fourth Proportional to 695.68, 1,042.88 and 588.16

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Solution

The fourth proportional to 695.68, 1,042.88 and 588.16 is: 881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.68 : 1,042.88 = 588.16 : x
  2. Step 2: Convert to fraction form
    695.68/1,042.88 = 588.16/x
  3. Step 3: Cross multiply
    695.68x = 1,042.88 × 588.16
  4. Step 4: Simplify right side
    695.68x = 613,380.30
  5. Step 5: Solve for x
    x = 613,380.30/695.68
  6. Step 6: Final answer
    x = 881.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.