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Finding the Fourth Proportional to 873.18, 1,310.72 and 614.79

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Solution

The fourth proportional to 873.18, 1,310.72 and 614.79 is: 922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.18 : 1,310.72 = 614.79 : x
  2. Step 2: Convert to fraction form
    873.18/1,310.72 = 614.79/x
  3. Step 3: Cross multiply
    873.18x = 1,310.72 × 614.79
  4. Step 4: Simplify right side
    873.18x = 805,814.47
  5. Step 5: Solve for x
    x = 805,814.47/873.18
  6. Step 6: Final answer
    x = 922.85

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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.