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Finding the Fourth Proportional to 834.23, 1,248.62 and 614.76

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Solution

The fourth proportional to 834.23, 1,248.62 and 614.76 is: 920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.23 : 1,248.62 = 614.76 : x
  2. Step 2: Convert to fraction form
    834.23/1,248.62 = 614.76/x
  3. Step 3: Cross multiply
    834.23x = 1,248.62 × 614.76
  4. Step 4: Simplify right side
    834.23x = 767,601.63
  5. Step 5: Solve for x
    x = 767,601.63/834.23
  6. Step 6: Final answer
    x = 920.13

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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.