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Finding the Fourth Proportional to 1,728.15, 2,592.19 and 495.55

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Solution

The fourth proportional to 1,728.15, 2,592.19 and 495.55 is: 743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.15 : 2,592.19 = 495.55 : x
  2. Step 2: Convert to fraction form
    1,728.15/2,592.19 = 495.55/x
  3. Step 3: Cross multiply
    1,728.15x = 2,592.19 × 495.55
  4. Step 4: Simplify right side
    1,728.15x = 1,284,559.75
  5. Step 5: Solve for x
    x = 1,284,559.75/1,728.15
  6. Step 6: Final answer
    x = 743.31

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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.