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Finding the Fourth Proportional to 1,728.52, 2,591.10 and 860.20

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Solution

The fourth proportional to 1,728.52, 2,591.10 and 860.20 is: 1,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.52 : 2,591.10 = 860.20 : x
  2. Step 2: Convert to fraction form
    1,728.52/2,591.10 = 860.20/x
  3. Step 3: Cross multiply
    1,728.52x = 2,591.10 × 860.20
  4. Step 4: Simplify right side
    1,728.52x = 2,228,864.22
  5. Step 5: Solve for x
    x = 2,228,864.22/1,728.52
  6. Step 6: Final answer
    x = 1,289.46

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1.5x scale

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.