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Finding the Fourth Proportional to 642.24, 962.08 and 560.80

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Solution

The fourth proportional to 642.24, 962.08 and 560.80 is: 840.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 962.08 = 560.80 : x
  2. Step 2: Convert to fraction form
    642.24/962.08 = 560.80/x
  3. Step 3: Cross multiply
    642.24x = 962.08 × 560.80
  4. Step 4: Simplify right side
    642.24x = 539,534.46
  5. Step 5: Solve for x
    x = 539,534.46/642.24
  6. Step 6: Final answer
    x = 840.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.