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Finding the Fourth Proportional to 641.79, 962.51 and 538.38

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Solution

The fourth proportional to 641.79, 962.51 and 538.38 is: 807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.79 : 962.51 = 538.38 : x
  2. Step 2: Convert to fraction form
    641.79/962.51 = 538.38/x
  3. Step 3: Cross multiply
    641.79x = 962.51 × 538.38
  4. Step 4: Simplify right side
    641.79x = 518,193.44
  5. Step 5: Solve for x
    x = 518,193.44/641.79
  6. Step 6: Final answer
    x = 807.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.