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Finding the Fourth Proportional to 675.74, 932.70 and 395.96

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Solution

The fourth proportional to 675.74, 932.70 and 395.96 is: 546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.74 : 932.70 = 395.96 : x
  2. Step 2: Convert to fraction form
    675.74/932.70 = 395.96/x
  3. Step 3: Cross multiply
    675.74x = 932.70 × 395.96
  4. Step 4: Simplify right side
    675.74x = 369,311.89
  5. Step 5: Solve for x
    x = 369,311.89/675.74
  6. Step 6: Final answer
    x = 546.53

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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.