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Finding the Fourth Proportional to 432.98, 652.20 and 427.31

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Solution

The fourth proportional to 432.98, 652.20 and 427.31 is: 643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.98 : 652.20 = 427.31 : x
  2. Step 2: Convert to fraction form
    432.98/652.20 = 427.31/x
  3. Step 3: Cross multiply
    432.98x = 652.20 × 427.31
  4. Step 4: Simplify right side
    432.98x = 278,691.58
  5. Step 5: Solve for x
    x = 278,691.58/432.98
  6. Step 6: Final answer
    x = 643.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.