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Finding the Fourth Proportional to 906.18, 1,244.01 and 781.64

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Solution

The fourth proportional to 906.18, 1,244.01 and 781.64 is: 1,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.18 : 1,244.01 = 781.64 : x
  2. Step 2: Convert to fraction form
    906.18/1,244.01 = 781.64/x
  3. Step 3: Cross multiply
    906.18x = 1,244.01 × 781.64
  4. Step 4: Simplify right side
    906.18x = 972,367.98
  5. Step 5: Solve for x
    x = 972,367.98/906.18
  6. Step 6: Final answer
    x = 1,073.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.