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Finding the Fourth Proportional to 754.87, 1,041.72 and 423.30

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Solution

The fourth proportional to 754.87, 1,041.72 and 423.30 is: 584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.87 : 1,041.72 = 423.30 : x
  2. Step 2: Convert to fraction form
    754.87/1,041.72 = 423.30/x
  3. Step 3: Cross multiply
    754.87x = 1,041.72 × 423.30
  4. Step 4: Simplify right side
    754.87x = 440,960.08
  5. Step 5: Solve for x
    x = 440,960.08/754.87
  6. Step 6: Final answer
    x = 584.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.