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Finding the Fourth Proportional to 641.61, 885.02 and 543.24

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Solution

The fourth proportional to 641.61, 885.02 and 543.24 is: 749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.61 : 885.02 = 543.24 : x
  2. Step 2: Convert to fraction form
    641.61/885.02 = 543.24/x
  3. Step 3: Cross multiply
    641.61x = 885.02 × 543.24
  4. Step 4: Simplify right side
    641.61x = 480,775.55
  5. Step 5: Solve for x
    x = 480,775.55/641.61
  6. Step 6: Final answer
    x = 749.33

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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.