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Finding the Fourth Proportional to 966.32, 1,449.96 and 419

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Solution

The fourth proportional to 966.32, 1,449.96 and 419 is: 628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.32 : 1,449.96 = 419 : x
  2. Step 2: Convert to fraction form
    966.32/1,449.96 = 419/x
  3. Step 3: Cross multiply
    966.32x = 1,449.96 × 419
  4. Step 4: Simplify right side
    966.32x = 607,533.24
  5. Step 5: Solve for x
    x = 607,533.24/966.32
  6. Step 6: Final answer
    x = 628.71

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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.