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Finding the Fourth Proportional to 675.38, 932.11 and 409.93

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Solution

The fourth proportional to 675.38, 932.11 and 409.93 is: 565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.38 : 932.11 = 409.93 : x
  2. Step 2: Convert to fraction form
    675.38/932.11 = 409.93/x
  3. Step 3: Cross multiply
    675.38x = 932.11 × 409.93
  4. Step 4: Simplify right side
    675.38x = 382,099.85
  5. Step 5: Solve for x
    x = 382,099.85/675.38
  6. Step 6: Final answer
    x = 565.76

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1.5x scale

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.