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Finding the Fourth Proportional to 842.57, 1,263.87 and 257.59

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Solution

The fourth proportional to 842.57, 1,263.87 and 257.59 is: 386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.57 : 1,263.87 = 257.59 : x
  2. Step 2: Convert to fraction form
    842.57/1,263.87 = 257.59/x
  3. Step 3: Cross multiply
    842.57x = 1,263.87 × 257.59
  4. Step 4: Simplify right side
    842.57x = 325,560.27
  5. Step 5: Solve for x
    x = 325,560.27/842.57
  6. Step 6: Final answer
    x = 386.39

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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.