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Finding the Fourth Proportional to 679.56, 932.16 and 642.30

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Solution

The fourth proportional to 679.56, 932.16 and 642.30 is: 881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.56 : 932.16 = 642.30 : x
  2. Step 2: Convert to fraction form
    679.56/932.16 = 642.30/x
  3. Step 3: Cross multiply
    679.56x = 932.16 × 642.30
  4. Step 4: Simplify right side
    679.56x = 598,726.37
  5. Step 5: Solve for x
    x = 598,726.37/679.56
  6. Step 6: Final answer
    x = 881.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.