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Finding the Fourth Proportional to 906.32, 1,250.82 and 557.07

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Solution

The fourth proportional to 906.32, 1,250.82 and 557.07 is: 768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.32 : 1,250.82 = 557.07 : x
  2. Step 2: Convert to fraction form
    906.32/1,250.82 = 557.07/x
  3. Step 3: Cross multiply
    906.32x = 1,250.82 × 557.07
  4. Step 4: Simplify right side
    906.32x = 696,794.30
  5. Step 5: Solve for x
    x = 696,794.30/906.32
  6. Step 6: Final answer
    x = 768.82

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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.