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Finding the Fourth Proportional to 1,524.87, 2,287.26 and 498.87

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Solution

The fourth proportional to 1,524.87, 2,287.26 and 498.87 is: 748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.87 : 2,287.26 = 498.87 : x
  2. Step 2: Convert to fraction form
    1,524.87/2,287.26 = 498.87/x
  3. Step 3: Cross multiply
    1,524.87x = 2,287.26 × 498.87
  4. Step 4: Simplify right side
    1,524.87x = 1,141,045.40
  5. Step 5: Solve for x
    x = 1,141,045.40/1,524.87
  6. Step 6: Final answer
    x = 748.29

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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.