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Finding the Fourth Proportional to 949.47, 1,423.08 and 428.86

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Solution

The fourth proportional to 949.47, 1,423.08 and 428.86 is: 642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.47 : 1,423.08 = 428.86 : x
  2. Step 2: Convert to fraction form
    949.47/1,423.08 = 428.86/x
  3. Step 3: Cross multiply
    949.47x = 1,423.08 × 428.86
  4. Step 4: Simplify right side
    949.47x = 610,292.83
  5. Step 5: Solve for x
    x = 610,292.83/949.47
  6. Step 6: Final answer
    x = 642.78

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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.