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Finding the Fourth Proportional to 754.70, 1,041.97 and 475.32

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Solution

The fourth proportional to 754.70, 1,041.97 and 475.32 is: 656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.70 : 1,041.97 = 475.32 : x
  2. Step 2: Convert to fraction form
    754.70/1,041.97 = 475.32/x
  3. Step 3: Cross multiply
    754.70x = 1,041.97 × 475.32
  4. Step 4: Simplify right side
    754.70x = 495,269.18
  5. Step 5: Solve for x
    x = 495,269.18/754.70
  6. Step 6: Final answer
    x = 656.25

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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.