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Finding the Fourth Proportional to 2,458.80, 3,688.38 and 997.56

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Solution

The fourth proportional to 2,458.80, 3,688.38 and 997.56 is: 1,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.80 : 3,688.38 = 997.56 : x
  2. Step 2: Convert to fraction form
    2,458.80/3,688.38 = 997.56/x
  3. Step 3: Cross multiply
    2,458.80x = 3,688.38 × 997.56
  4. Step 4: Simplify right side
    2,458.80x = 3,679,380.35
  5. Step 5: Solve for x
    x = 3,679,380.35/2,458.80
  6. Step 6: Final answer
    x = 1,496.41

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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.