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Finding the Fourth Proportional to 872.57, 1,309.61 and 461.99

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Solution

The fourth proportional to 872.57, 1,309.61 and 461.99 is: 693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.57 : 1,309.61 = 461.99 : x
  2. Step 2: Convert to fraction form
    872.57/1,309.61 = 461.99/x
  3. Step 3: Cross multiply
    872.57x = 1,309.61 × 461.99
  4. Step 4: Simplify right side
    872.57x = 605,031.15
  5. Step 5: Solve for x
    x = 605,031.15/872.57
  6. Step 6: Final answer
    x = 693.39

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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.