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Finding the Fourth Proportional to 1,608.28, 2,412.42 and 958.66

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Solution

The fourth proportional to 1,608.28, 2,412.42 and 958.66 is: 1,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.28 : 2,412.42 = 958.66 : x
  2. Step 2: Convert to fraction form
    1,608.28/2,412.42 = 958.66/x
  3. Step 3: Cross multiply
    1,608.28x = 2,412.42 × 958.66
  4. Step 4: Simplify right side
    1,608.28x = 2,312,690.56
  5. Step 5: Solve for x
    x = 2,312,690.56/1,608.28
  6. Step 6: Final answer
    x = 1,437.99

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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.