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Finding the Fourth Proportional to 949.80, 1,424.88 and 300.57

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Solution

The fourth proportional to 949.80, 1,424.88 and 300.57 is: 450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.80 : 1,424.88 = 300.57 : x
  2. Step 2: Convert to fraction form
    949.80/1,424.88 = 300.57/x
  3. Step 3: Cross multiply
    949.80x = 1,424.88 × 300.57
  4. Step 4: Simplify right side
    949.80x = 428,276.18
  5. Step 5: Solve for x
    x = 428,276.18/949.80
  6. Step 6: Final answer
    x = 450.91

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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.