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Finding the Fourth Proportional to 949.79, 1,423.91 and 422.31

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Solution

The fourth proportional to 949.79, 1,423.91 and 422.31 is: 633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.79 : 1,423.91 = 422.31 : x
  2. Step 2: Convert to fraction form
    949.79/1,423.91 = 422.31/x
  3. Step 3: Cross multiply
    949.79x = 1,423.91 × 422.31
  4. Step 4: Simplify right side
    949.79x = 601,337.83
  5. Step 5: Solve for x
    x = 601,337.83/949.79
  6. Step 6: Final answer
    x = 633.13

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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.