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Finding the Fourth Proportional to 675.38, 932.02 and 468.50

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Solution

The fourth proportional to 675.38, 932.02 and 468.50 is: 646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.38 : 932.02 = 468.50 : x
  2. Step 2: Convert to fraction form
    675.38/932.02 = 468.50/x
  3. Step 3: Cross multiply
    675.38x = 932.02 × 468.50
  4. Step 4: Simplify right side
    675.38x = 436,645.54
  5. Step 5: Solve for x
    x = 436,645.54/675.38
  6. Step 6: Final answer
    x = 646.52

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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.