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Finding the Fourth Proportional to 944.65, 1,414.68 and 457.98

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Solution

The fourth proportional to 944.65, 1,414.68 and 457.98 is: 685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.65 : 1,414.68 = 457.98 : x
  2. Step 2: Convert to fraction form
    944.65/1,414.68 = 457.98/x
  3. Step 3: Cross multiply
    944.65x = 1,414.68 × 457.98
  4. Step 4: Simplify right side
    944.65x = 647,895.15
  5. Step 5: Solve for x
    x = 647,895.15/944.65
  6. Step 6: Final answer
    x = 685.86

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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.