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Finding the Fourth Proportional to 844.98, 1,167.57 and 650.18

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Solution

The fourth proportional to 844.98, 1,167.57 and 650.18 is: 898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.98 : 1,167.57 = 650.18 : x
  2. Step 2: Convert to fraction form
    844.98/1,167.57 = 650.18/x
  3. Step 3: Cross multiply
    844.98x = 1,167.57 × 650.18
  4. Step 4: Simplify right side
    844.98x = 759,126.12
  5. Step 5: Solve for x
    x = 759,126.12/844.98
  6. Step 6: Final answer
    x = 898.39

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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.