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Finding the Fourth Proportional to 853.97, 1,177.35 and 559.13

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Solution

The fourth proportional to 853.97, 1,177.35 and 559.13 is: 770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.97 : 1,177.35 = 559.13 : x
  2. Step 2: Convert to fraction form
    853.97/1,177.35 = 559.13/x
  3. Step 3: Cross multiply
    853.97x = 1,177.35 × 559.13
  4. Step 4: Simplify right side
    853.97x = 658,291.71
  5. Step 5: Solve for x
    x = 658,291.71/853.97
  6. Step 6: Final answer
    x = 770.86

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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.