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Finding the Fourth Proportional to 675.25, 932.25 and 442.78

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Solution

The fourth proportional to 675.25, 932.25 and 442.78 is: 611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.25 : 932.25 = 442.78 : x
  2. Step 2: Convert to fraction form
    675.25/932.25 = 442.78/x
  3. Step 3: Cross multiply
    675.25x = 932.25 × 442.78
  4. Step 4: Simplify right side
    675.25x = 412,781.66
  5. Step 5: Solve for x
    x = 412,781.66/675.25
  6. Step 6: Final answer
    x = 611.30

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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.