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Finding the Fourth Proportional to 675.24, 932.15 and 395.38

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Solution

The fourth proportional to 675.24, 932.15 and 395.38 is: 545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.24 : 932.15 = 395.38 : x
  2. Step 2: Convert to fraction form
    675.24/932.15 = 395.38/x
  3. Step 3: Cross multiply
    675.24x = 932.15 × 395.38
  4. Step 4: Simplify right side
    675.24x = 368,553.47
  5. Step 5: Solve for x
    x = 368,553.47/675.24
  6. Step 6: Final answer
    x = 545.81

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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.