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Finding the Fourth Proportional to 1,231.70, 1,847.55 and 614.48

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Solution

The fourth proportional to 1,231.70, 1,847.55 and 614.48 is: 921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.70 : 1,847.55 = 614.48 : x
  2. Step 2: Convert to fraction form
    1,231.70/1,847.55 = 614.48/x
  3. Step 3: Cross multiply
    1,231.70x = 1,847.55 × 614.48
  4. Step 4: Simplify right side
    1,231.70x = 1,135,282.52
  5. Step 5: Solve for x
    x = 1,135,282.52/1,231.70
  6. Step 6: Final answer
    x = 921.72

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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.