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Finding the Fourth Proportional to 949.39, 1,423.16 and 487.38

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Solution

The fourth proportional to 949.39, 1,423.16 and 487.38 is: 730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.39 : 1,423.16 = 487.38 : x
  2. Step 2: Convert to fraction form
    949.39/1,423.16 = 487.38/x
  3. Step 3: Cross multiply
    949.39x = 1,423.16 × 487.38
  4. Step 4: Simplify right side
    949.39x = 693,619.72
  5. Step 5: Solve for x
    x = 693,619.72/949.39
  6. Step 6: Final answer
    x = 730.60

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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.