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Finding the Fourth Proportional to 966.78, 1,440.88 and 958.75

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Solution

The fourth proportional to 966.78, 1,440.88 and 958.75 is: 1,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.78 : 1,440.88 = 958.75 : x
  2. Step 2: Convert to fraction form
    966.78/1,440.88 = 958.75/x
  3. Step 3: Cross multiply
    966.78x = 1,440.88 × 958.75
  4. Step 4: Simplify right side
    966.78x = 1,381,437.70
  5. Step 5: Solve for x
    x = 1,381,437.70/966.78
  6. Step 6: Final answer
    x = 1,428.91

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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.