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Finding the Fourth Proportional to 906.46, 1,250.96 and 552.32

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Solution

The fourth proportional to 906.46, 1,250.96 and 552.32 is: 762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.46 : 1,250.96 = 552.32 : x
  2. Step 2: Convert to fraction form
    906.46/1,250.96 = 552.32/x
  3. Step 3: Cross multiply
    906.46x = 1,250.96 × 552.32
  4. Step 4: Simplify right side
    906.46x = 690,930.23
  5. Step 5: Solve for x
    x = 690,930.23/906.46
  6. Step 6: Final answer
    x = 762.23

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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.