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Finding the Fourth Proportional to 874.26, 1,206.27 and 524.88

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Solution

The fourth proportional to 874.26, 1,206.27 and 524.88 is: 724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.26 : 1,206.27 = 524.88 : x
  2. Step 2: Convert to fraction form
    874.26/1,206.27 = 524.88/x
  3. Step 3: Cross multiply
    874.26x = 1,206.27 × 524.88
  4. Step 4: Simplify right side
    874.26x = 633,147.00
  5. Step 5: Solve for x
    x = 633,147.00/874.26
  6. Step 6: Final answer
    x = 724.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.