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Finding the Fourth Proportional to 675.40, 932.12 and 409.98

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Solution

The fourth proportional to 675.40, 932.12 and 409.98 is: 565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.40 : 932.12 = 409.98 : x
  2. Step 2: Convert to fraction form
    675.40/932.12 = 409.98/x
  3. Step 3: Cross multiply
    675.40x = 932.12 × 409.98
  4. Step 4: Simplify right side
    675.40x = 382,150.56
  5. Step 5: Solve for x
    x = 382,150.56/675.40
  6. Step 6: Final answer
    x = 565.81

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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.