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Finding the Fourth Proportional to 675.74, 932.36 and 380.90

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Solution

The fourth proportional to 675.74, 932.36 and 380.90 is: 525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.74 : 932.36 = 380.90 : x
  2. Step 2: Convert to fraction form
    675.74/932.36 = 380.90/x
  3. Step 3: Cross multiply
    675.74x = 932.36 × 380.90
  4. Step 4: Simplify right side
    675.74x = 355,134.02
  5. Step 5: Solve for x
    x = 355,134.02/675.74
  6. Step 6: Final answer
    x = 525.55

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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.