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Finding the Fourth Proportional to 949.63, 1,423.95 and 448.78

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Solution

The fourth proportional to 949.63, 1,423.95 and 448.78 is: 672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.63 : 1,423.95 = 448.78 : x
  2. Step 2: Convert to fraction form
    949.63/1,423.95 = 448.78/x
  3. Step 3: Cross multiply
    949.63x = 1,423.95 × 448.78
  4. Step 4: Simplify right side
    949.63x = 639,040.28
  5. Step 5: Solve for x
    x = 639,040.28/949.63
  6. Step 6: Final answer
    x = 672.94

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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.