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Finding the Fourth Proportional to 874.47, 1,306.41 and 563.79

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Solution

The fourth proportional to 874.47, 1,306.41 and 563.79 is: 842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.47 : 1,306.41 = 563.79 : x
  2. Step 2: Convert to fraction form
    874.47/1,306.41 = 563.79/x
  3. Step 3: Cross multiply
    874.47x = 1,306.41 × 563.79
  4. Step 4: Simplify right side
    874.47x = 736,540.89
  5. Step 5: Solve for x
    x = 736,540.89/874.47
  6. Step 6: Final answer
    x = 842.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.