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Finding the Fourth Proportional to 675.56, 932.12 and 409.92

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Solution

The fourth proportional to 675.56, 932.12 and 409.92 is: 565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.56 : 932.12 = 409.92 : x
  2. Step 2: Convert to fraction form
    675.56/932.12 = 409.92/x
  3. Step 3: Cross multiply
    675.56x = 932.12 × 409.92
  4. Step 4: Simplify right side
    675.56x = 382,094.63
  5. Step 5: Solve for x
    x = 382,094.63/675.56
  6. Step 6: Final answer
    x = 565.60

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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.