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Finding the Fourth Proportional to 872.99, 1,310.13 and 611.27

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Solution

The fourth proportional to 872.99, 1,310.13 and 611.27 is: 917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.99 : 1,310.13 = 611.27 : x
  2. Step 2: Convert to fraction form
    872.99/1,310.13 = 611.27/x
  3. Step 3: Cross multiply
    872.99x = 1,310.13 × 611.27
  4. Step 4: Simplify right side
    872.99x = 800,836.61
  5. Step 5: Solve for x
    x = 800,836.61/872.99
  6. Step 6: Final answer
    x = 917.35

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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.