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Finding the Fourth Proportional to 427.62, 638.64 and 424.86

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Solution

The fourth proportional to 427.62, 638.64 and 424.86 is: 634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.62 : 638.64 = 424.86 : x
  2. Step 2: Convert to fraction form
    427.62/638.64 = 424.86/x
  3. Step 3: Cross multiply
    427.62x = 638.64 × 424.86
  4. Step 4: Simplify right side
    427.62x = 271,332.59
  5. Step 5: Solve for x
    x = 271,332.59/427.62
  6. Step 6: Final answer
    x = 634.52

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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.