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Finding the Fourth Proportional to 949.61, 1,424.39 and 429.49

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Solution

The fourth proportional to 949.61, 1,424.39 and 429.49 is: 644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.61 : 1,424.39 = 429.49 : x
  2. Step 2: Convert to fraction form
    949.61/1,424.39 = 429.49/x
  3. Step 3: Cross multiply
    949.61x = 1,424.39 × 429.49
  4. Step 4: Simplify right side
    949.61x = 611,755.55
  5. Step 5: Solve for x
    x = 611,755.55/949.61
  6. Step 6: Final answer
    x = 644.22

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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.