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Finding the Fourth Proportional to 679.75, 1,017.63 and 614.90

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Solution

The fourth proportional to 679.75, 1,017.63 and 614.90 is: 920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.75 : 1,017.63 = 614.90 : x
  2. Step 2: Convert to fraction form
    679.75/1,017.63 = 614.90/x
  3. Step 3: Cross multiply
    679.75x = 1,017.63 × 614.90
  4. Step 4: Simplify right side
    679.75x = 625,740.69
  5. Step 5: Solve for x
    x = 625,740.69/679.75
  6. Step 6: Final answer
    x = 920.55

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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.