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Finding the Fourth Proportional to 950.43, 1,425.69 and 257.12

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Solution

The fourth proportional to 950.43, 1,425.69 and 257.12 is: 385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.43 : 1,425.69 = 257.12 : x
  2. Step 2: Convert to fraction form
    950.43/1,425.69 = 257.12/x
  3. Step 3: Cross multiply
    950.43x = 1,425.69 × 257.12
  4. Step 4: Simplify right side
    950.43x = 366,579.29
  5. Step 5: Solve for x
    x = 366,579.29/950.43
  6. Step 6: Final answer
    x = 385.70

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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.