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Finding the Fourth Proportional to 2,257.22, 3,386.50 and 958.79

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Solution

The fourth proportional to 2,257.22, 3,386.50 and 958.79 is: 1,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.22 : 3,386.50 = 958.79 : x
  2. Step 2: Convert to fraction form
    2,257.22/3,386.50 = 958.79/x
  3. Step 3: Cross multiply
    2,257.22x = 3,386.50 × 958.79
  4. Step 4: Simplify right side
    2,257.22x = 3,246,941.10
  5. Step 5: Solve for x
    x = 3,246,941.10/2,257.22
  6. Step 6: Final answer
    x = 1,438.47

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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.