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Finding the Fourth Proportional to 1,487.41, 2,233.11 and 958.87

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Solution

The fourth proportional to 1,487.41, 2,233.11 and 958.87 is: 1,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.41 : 2,233.11 = 958.87 : x
  2. Step 2: Convert to fraction form
    1,487.41/2,233.11 = 958.87/x
  3. Step 3: Cross multiply
    1,487.41x = 2,233.11 × 958.87
  4. Step 4: Simplify right side
    1,487.41x = 2,141,262.19
  5. Step 5: Solve for x
    x = 2,141,262.19/1,487.41
  6. Step 6: Final answer
    x = 1,439.59

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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.