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Finding the Fourth Proportional to 679.83, 1,017.39 and 564.49

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Solution

The fourth proportional to 679.83, 1,017.39 and 564.49 is: 844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.83 : 1,017.39 = 564.49 : x
  2. Step 2: Convert to fraction form
    679.83/1,017.39 = 564.49/x
  3. Step 3: Cross multiply
    679.83x = 1,017.39 × 564.49
  4. Step 4: Simplify right side
    679.83x = 574,306.48
  5. Step 5: Solve for x
    x = 574,306.48/679.83
  6. Step 6: Final answer
    x = 844.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.