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Finding the Fourth Proportional to 1,641.80, 2,462.56 and 487.55

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Solution

The fourth proportional to 1,641.80, 2,462.56 and 487.55 is: 731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.80 : 2,462.56 = 487.55 : x
  2. Step 2: Convert to fraction form
    1,641.80/2,462.56 = 487.55/x
  3. Step 3: Cross multiply
    1,641.80x = 2,462.56 × 487.55
  4. Step 4: Simplify right side
    1,641.80x = 1,200,621.13
  5. Step 5: Solve for x
    x = 1,200,621.13/1,641.80
  6. Step 6: Final answer
    x = 731.28

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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.