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Finding the Fourth Proportional to 950.50, 1,425.53 and 257.23

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Solution

The fourth proportional to 950.50, 1,425.53 and 257.23 is: 385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.50 : 1,425.53 = 257.23 : x
  2. Step 2: Convert to fraction form
    950.50/1,425.53 = 257.23/x
  3. Step 3: Cross multiply
    950.50x = 1,425.53 × 257.23
  4. Step 4: Simplify right side
    950.50x = 366,686.16
  5. Step 5: Solve for x
    x = 366,686.16/950.50
  6. Step 6: Final answer
    x = 385.78

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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.