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Finding the Fourth Proportional to 1,257.57, 1,734.21 and 815.67

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Solution

The fourth proportional to 1,257.57, 1,734.21 and 815.67 is: 1,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.57 : 1,734.21 = 815.67 : x
  2. Step 2: Convert to fraction form
    1,257.57/1,734.21 = 815.67/x
  3. Step 3: Cross multiply
    1,257.57x = 1,734.21 × 815.67
  4. Step 4: Simplify right side
    1,257.57x = 1,414,543.07
  5. Step 5: Solve for x
    x = 1,414,543.07/1,257.57
  6. Step 6: Final answer
    x = 1,124.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.