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Finding the Fourth Proportional to 1,589.01, 2,381.76 and 614.31

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Solution

The fourth proportional to 1,589.01, 2,381.76 and 614.31 is: 920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.01 : 2,381.76 = 614.31 : x
  2. Step 2: Convert to fraction form
    1,589.01/2,381.76 = 614.31/x
  3. Step 3: Cross multiply
    1,589.01x = 2,381.76 × 614.31
  4. Step 4: Simplify right side
    1,589.01x = 1,463,138.99
  5. Step 5: Solve for x
    x = 1,463,138.99/1,589.01
  6. Step 6: Final answer
    x = 920.79

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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.