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Finding the Fourth Proportional to 874.40, 1,310.72 and 614.40

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Solution

The fourth proportional to 874.40, 1,310.72 and 614.40 is: 920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.40 : 1,310.72 = 614.40 : x
  2. Step 2: Convert to fraction form
    874.40/1,310.72 = 614.40/x
  3. Step 3: Cross multiply
    874.40x = 1,310.72 × 614.40
  4. Step 4: Simplify right side
    874.40x = 805,306.37
  5. Step 5: Solve for x
    x = 805,306.37/874.40
  6. Step 6: Final answer
    x = 920.98

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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.