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Finding the Fourth Proportional to 733.87, 1,019.85 and 724.69

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Solution

The fourth proportional to 733.87, 1,019.85 and 724.69 is: 1,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.87 : 1,019.85 = 724.69 : x
  2. Step 2: Convert to fraction form
    733.87/1,019.85 = 724.69/x
  3. Step 3: Cross multiply
    733.87x = 1,019.85 × 724.69
  4. Step 4: Simplify right side
    733.87x = 739,075.10
  5. Step 5: Solve for x
    x = 739,075.10/733.87
  6. Step 6: Final answer
    x = 1,007.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.