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Finding the Fourth Proportional to 906.66, 1,251.18 and 645.12

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Solution

The fourth proportional to 906.66, 1,251.18 and 645.12 is: 890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.66 : 1,251.18 = 645.12 : x
  2. Step 2: Convert to fraction form
    906.66/1,251.18 = 645.12/x
  3. Step 3: Cross multiply
    906.66x = 1,251.18 × 645.12
  4. Step 4: Simplify right side
    906.66x = 807,161.24
  5. Step 5: Solve for x
    x = 807,161.24/906.66
  6. Step 6: Final answer
    x = 890.26

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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.