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Finding the Fourth Proportional to 840.20, 1,158.86 and 560.30

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Solution

The fourth proportional to 840.20, 1,158.86 and 560.30 is: 772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.20 : 1,158.86 = 560.30 : x
  2. Step 2: Convert to fraction form
    840.20/1,158.86 = 560.30/x
  3. Step 3: Cross multiply
    840.20x = 1,158.86 × 560.30
  4. Step 4: Simplify right side
    840.20x = 649,306.46
  5. Step 5: Solve for x
    x = 649,306.46/840.20
  6. Step 6: Final answer
    x = 772.80

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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.