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Finding the Fourth Proportional to 598.38, 826.17 and 458.25

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Solution

The fourth proportional to 598.38, 826.17 and 458.25 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.38 : 826.17 = 458.25 : x
  2. Step 2: Convert to fraction form
    598.38/826.17 = 458.25/x
  3. Step 3: Cross multiply
    598.38x = 826.17 × 458.25
  4. Step 4: Simplify right side
    598.38x = 378,594.12
  5. Step 5: Solve for x
    x = 378,594.12/598.38
  6. Step 6: Final answer
    x = 632.70

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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.