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Finding the Fourth Proportional to 871.02, 1,201.50 and 560.52

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Solution

The fourth proportional to 871.02, 1,201.50 and 560.52 is: 773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.02 : 1,201.50 = 560.52 : x
  2. Step 2: Convert to fraction form
    871.02/1,201.50 = 560.52/x
  3. Step 3: Cross multiply
    871.02x = 1,201.50 × 560.52
  4. Step 4: Simplify right side
    871.02x = 673,464.78
  5. Step 5: Solve for x
    x = 673,464.78/871.02
  6. Step 6: Final answer
    x = 773.19

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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.