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Finding the Fourth Proportional to 1,658.60, 2,471.76 and 1,608.56

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Solution

The fourth proportional to 1,658.60, 2,471.76 and 1,608.56 is: 2,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.60 : 2,471.76 = 1,608.56 : x
  2. Step 2: Convert to fraction form
    1,658.60/2,471.76 = 1,608.56/x
  3. Step 3: Cross multiply
    1,658.60x = 2,471.76 × 1,608.56
  4. Step 4: Simplify right side
    1,658.60x = 3,975,974.27
  5. Step 5: Solve for x
    x = 3,975,974.27/1,658.60
  6. Step 6: Final answer
    x = 2,397.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.