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Finding the Fourth Proportional to 874.88, 1,311.84 and 566.72

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Solution

The fourth proportional to 874.88, 1,311.84 and 566.72 is: 849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.88 : 1,311.84 = 566.72 : x
  2. Step 2: Convert to fraction form
    874.88/1,311.84 = 566.72/x
  3. Step 3: Cross multiply
    874.88x = 1,311.84 × 566.72
  4. Step 4: Simplify right side
    874.88x = 743,445.96
  5. Step 5: Solve for x
    x = 743,445.96/874.88
  6. Step 6: Final answer
    x = 849.77

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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.