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Finding the Fourth Proportional to 844.12, 1,159.85 and 688.60

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Solution

The fourth proportional to 844.12, 1,159.85 and 688.60 is: 946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.12 : 1,159.85 = 688.60 : x
  2. Step 2: Convert to fraction form
    844.12/1,159.85 = 688.60/x
  3. Step 3: Cross multiply
    844.12x = 1,159.85 × 688.60
  4. Step 4: Simplify right side
    844.12x = 798,672.71
  5. Step 5: Solve for x
    x = 798,672.71/844.12
  6. Step 6: Final answer
    x = 946.16

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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.