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Finding the Fourth Proportional to 675.48, 932.12 and 395.74

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Solution

The fourth proportional to 675.48, 932.12 and 395.74 is: 546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.48 : 932.12 = 395.74 : x
  2. Step 2: Convert to fraction form
    675.48/932.12 = 395.74/x
  3. Step 3: Cross multiply
    675.48x = 932.12 × 395.74
  4. Step 4: Simplify right side
    675.48x = 368,877.17
  5. Step 5: Solve for x
    x = 368,877.17/675.48
  6. Step 6: Final answer
    x = 546.10

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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.