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Finding the Fourth Proportional to 695.52, 1,041.60 and 402.14

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Solution

The fourth proportional to 695.52, 1,041.60 and 402.14 is: 602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.52 : 1,041.60 = 402.14 : x
  2. Step 2: Convert to fraction form
    695.52/1,041.60 = 402.14/x
  3. Step 3: Cross multiply
    695.52x = 1,041.60 × 402.14
  4. Step 4: Simplify right side
    695.52x = 418,869.02
  5. Step 5: Solve for x
    x = 418,869.02/695.52
  6. Step 6: Final answer
    x = 602.24

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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.