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Finding the Fourth Proportional to 675.68, 932.43 and 395.85

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Solution

The fourth proportional to 675.68, 932.43 and 395.85 is: 546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.68 : 932.43 = 395.85 : x
  2. Step 2: Convert to fraction form
    675.68/932.43 = 395.85/x
  3. Step 3: Cross multiply
    675.68x = 932.43 × 395.85
  4. Step 4: Simplify right side
    675.68x = 369,102.42
  5. Step 5: Solve for x
    x = 369,102.42/675.68
  6. Step 6: Final answer
    x = 546.27

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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.