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Finding the Fourth Proportional to 958.75, 1,438.56 and 715.75

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Solution

The fourth proportional to 958.75, 1,438.56 and 715.75 is: 1,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.75 : 1,438.56 = 715.75 : x
  2. Step 2: Convert to fraction form
    958.75/1,438.56 = 715.75/x
  3. Step 3: Cross multiply
    958.75x = 1,438.56 × 715.75
  4. Step 4: Simplify right side
    958.75x = 1,029,645.72
  5. Step 5: Solve for x
    x = 1,029,645.72/958.75
  6. Step 6: Final answer
    x = 1,073.95

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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.