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Finding the Fourth Proportional to 906.46, 1,250.52 and 591.84

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Solution

The fourth proportional to 906.46, 1,250.52 and 591.84 is: 816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.46 : 1,250.52 = 591.84 : x
  2. Step 2: Convert to fraction form
    906.46/1,250.52 = 591.84/x
  3. Step 3: Cross multiply
    906.46x = 1,250.52 × 591.84
  4. Step 4: Simplify right side
    906.46x = 740,107.76
  5. Step 5: Solve for x
    x = 740,107.76/906.46
  6. Step 6: Final answer
    x = 816.48

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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.