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Finding the Fourth Proportional to 679.29, 1,017.35 and 496.23

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Solution

The fourth proportional to 679.29, 1,017.35 and 496.23 is: 743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.29 : 1,017.35 = 496.23 : x
  2. Step 2: Convert to fraction form
    679.29/1,017.35 = 496.23/x
  3. Step 3: Cross multiply
    679.29x = 1,017.35 × 496.23
  4. Step 4: Simplify right side
    679.29x = 504,832.02
  5. Step 5: Solve for x
    x = 504,832.02/679.29
  6. Step 6: Final answer
    x = 743.18

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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.