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Finding the Fourth Proportional to 874.52, 1,312.24 and 566.29

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Solution

The fourth proportional to 874.52, 1,312.24 and 566.29 is: 849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.52 : 1,312.24 = 566.29 : x
  2. Step 2: Convert to fraction form
    874.52/1,312.24 = 566.29/x
  3. Step 3: Cross multiply
    874.52x = 1,312.24 × 566.29
  4. Step 4: Simplify right side
    874.52x = 743,108.39
  5. Step 5: Solve for x
    x = 743,108.39/874.52
  6. Step 6: Final answer
    x = 849.73

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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.