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Finding the Fourth Proportional to 906.18, 1,251.63 and 732.84

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Solution

The fourth proportional to 906.18, 1,251.63 and 732.84 is: 1,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.18 : 1,251.63 = 732.84 : x
  2. Step 2: Convert to fraction form
    906.18/1,251.63 = 732.84/x
  3. Step 3: Cross multiply
    906.18x = 1,251.63 × 732.84
  4. Step 4: Simplify right side
    906.18x = 917,244.53
  5. Step 5: Solve for x
    x = 917,244.53/906.18
  6. Step 6: Final answer
    x = 1,012.21

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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.