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Finding the Fourth Proportional to 675.42, 932.12 and 376.70

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Solution

The fourth proportional to 675.42, 932.12 and 376.70 is: 519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 932.12 = 376.70 : x
  2. Step 2: Convert to fraction form
    675.42/932.12 = 376.70/x
  3. Step 3: Cross multiply
    675.42x = 932.12 × 376.70
  4. Step 4: Simplify right side
    675.42x = 351,123.06
  5. Step 5: Solve for x
    x = 351,123.06/675.42
  6. Step 6: Final answer
    x = 519.86

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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.