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Finding the Fourth Proportional to 734.87, 1,102.41 and 599.10

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Solution

The fourth proportional to 734.87, 1,102.41 and 599.10 is: 898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.87 : 1,102.41 = 599.10 : x
  2. Step 2: Convert to fraction form
    734.87/1,102.41 = 599.10/x
  3. Step 3: Cross multiply
    734.87x = 1,102.41 × 599.10
  4. Step 4: Simplify right side
    734.87x = 660,449.70
  5. Step 5: Solve for x
    x = 660,449.70/734.87
  6. Step 6: Final answer
    x = 898.73

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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.