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Finding the Fourth Proportional to 754.39, 1,041.08 and 422.80

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Solution

The fourth proportional to 754.39, 1,041.08 and 422.80 is: 583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.39 : 1,041.08 = 422.80 : x
  2. Step 2: Convert to fraction form
    754.39/1,041.08 = 422.80/x
  3. Step 3: Cross multiply
    754.39x = 1,041.08 × 422.80
  4. Step 4: Simplify right side
    754.39x = 440,163.91
  5. Step 5: Solve for x
    x = 440,163.91/754.39
  6. Step 6: Final answer
    x = 583.47

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1.5x scale

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.