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Finding the Fourth Proportional to 641.71, 884.55 and 524.17

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Solution

The fourth proportional to 641.71, 884.55 and 524.17 is: 722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.71 : 884.55 = 524.17 : x
  2. Step 2: Convert to fraction form
    641.71/884.55 = 524.17/x
  3. Step 3: Cross multiply
    641.71x = 884.55 × 524.17
  4. Step 4: Simplify right side
    641.71x = 463,654.57
  5. Step 5: Solve for x
    x = 463,654.57/641.71
  6. Step 6: Final answer
    x = 722.53

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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.