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Finding the Fourth Proportional to 950.56, 1,425.70 and 301.30

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Solution

The fourth proportional to 950.56, 1,425.70 and 301.30 is: 451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.56 : 1,425.70 = 301.30 : x
  2. Step 2: Convert to fraction form
    950.56/1,425.70 = 301.30/x
  3. Step 3: Cross multiply
    950.56x = 1,425.70 × 301.30
  4. Step 4: Simplify right side
    950.56x = 429,563.41
  5. Step 5: Solve for x
    x = 429,563.41/950.56
  6. Step 6: Final answer
    x = 451.91

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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.