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Finding the Fourth Proportional to 874.52, 1,309.64 and 565.44

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Solution

The fourth proportional to 874.52, 1,309.64 and 565.44 is: 846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.52 : 1,309.64 = 565.44 : x
  2. Step 2: Convert to fraction form
    874.52/1,309.64 = 565.44/x
  3. Step 3: Cross multiply
    874.52x = 1,309.64 × 565.44
  4. Step 4: Simplify right side
    874.52x = 740,522.84
  5. Step 5: Solve for x
    x = 740,522.84/874.52
  6. Step 6: Final answer
    x = 846.78

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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.