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Finding the Fourth Proportional to 543.32, 747.78 and 432.44

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Solution

The fourth proportional to 543.32, 747.78 and 432.44 is: 595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.32 : 747.78 = 432.44 : x
  2. Step 2: Convert to fraction form
    543.32/747.78 = 432.44/x
  3. Step 3: Cross multiply
    543.32x = 747.78 × 432.44
  4. Step 4: Simplify right side
    543.32x = 323,369.98
  5. Step 5: Solve for x
    x = 323,369.98/543.32
  6. Step 6: Final answer
    x = 595.17

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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.