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Finding the Fourth Proportional to 874.13, 1,311.26 and 565.52

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Solution

The fourth proportional to 874.13, 1,311.26 and 565.52 is: 848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.13 : 1,311.26 = 565.52 : x
  2. Step 2: Convert to fraction form
    874.13/1,311.26 = 565.52/x
  3. Step 3: Cross multiply
    874.13x = 1,311.26 × 565.52
  4. Step 4: Simplify right side
    874.13x = 741,534.37
  5. Step 5: Solve for x
    x = 741,534.37/874.13
  6. Step 6: Final answer
    x = 848.32

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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.