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Finding the Fourth Proportional to 871.20, 1,200.24 and 608.76

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Solution

The fourth proportional to 871.20, 1,200.24 and 608.76 is: 838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.20 : 1,200.24 = 608.76 : x
  2. Step 2: Convert to fraction form
    871.20/1,200.24 = 608.76/x
  3. Step 3: Cross multiply
    871.20x = 1,200.24 × 608.76
  4. Step 4: Simplify right side
    871.20x = 730,658.10
  5. Step 5: Solve for x
    x = 730,658.10/871.20
  6. Step 6: Final answer
    x = 838.68

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Half scale
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Double scale
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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.