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Finding the Fourth Proportional to 950.47, 1,425.77 and 257.15

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Solution

The fourth proportional to 950.47, 1,425.77 and 257.15 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.47 : 1,425.77 = 257.15 : x
  2. Step 2: Convert to fraction form
    950.47/1,425.77 = 257.15/x
  3. Step 3: Cross multiply
    950.47x = 1,425.77 × 257.15
  4. Step 4: Simplify right side
    950.47x = 366,636.76
  5. Step 5: Solve for x
    x = 366,636.76/950.47
  6. Step 6: Final answer
    x = 385.74

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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.