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Finding the Fourth Proportional to 966.53, 1,449.27 and 619.70

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Solution

The fourth proportional to 966.53, 1,449.27 and 619.70 is: 929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.53 : 1,449.27 = 619.70 : x
  2. Step 2: Convert to fraction form
    966.53/1,449.27 = 619.70/x
  3. Step 3: Cross multiply
    966.53x = 1,449.27 × 619.70
  4. Step 4: Simplify right side
    966.53x = 898,105.37
  5. Step 5: Solve for x
    x = 898,105.37/966.53
  6. Step 6: Final answer
    x = 929.21

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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.