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Finding the Fourth Proportional to 462.38, 689.99 and 425.79

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Solution

The fourth proportional to 462.38, 689.99 and 425.79 is: 635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.38 : 689.99 = 425.79 : x
  2. Step 2: Convert to fraction form
    462.38/689.99 = 425.79/x
  3. Step 3: Cross multiply
    462.38x = 689.99 × 425.79
  4. Step 4: Simplify right side
    462.38x = 293,788.71
  5. Step 5: Solve for x
    x = 293,788.71/462.38
  6. Step 6: Final answer
    x = 635.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.