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Finding the Fourth Proportional to 949.68, 1,423.86 and 463.02

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Solution

The fourth proportional to 949.68, 1,423.86 and 463.02 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.68 : 1,423.86 = 463.02 : x
  2. Step 2: Convert to fraction form
    949.68/1,423.86 = 463.02/x
  3. Step 3: Cross multiply
    949.68x = 1,423.86 × 463.02
  4. Step 4: Simplify right side
    949.68x = 659,275.66
  5. Step 5: Solve for x
    x = 659,275.66/949.68
  6. Step 6: Final answer
    x = 694.21

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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.