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Finding the Fourth Proportional to 675.78, 932.22 and 442.50

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Solution

The fourth proportional to 675.78, 932.22 and 442.50 is: 610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.78 : 932.22 = 442.50 : x
  2. Step 2: Convert to fraction form
    675.78/932.22 = 442.50/x
  3. Step 3: Cross multiply
    675.78x = 932.22 × 442.50
  4. Step 4: Simplify right side
    675.78x = 412,507.35
  5. Step 5: Solve for x
    x = 412,507.35/675.78
  6. Step 6: Final answer
    x = 610.42

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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.