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Finding the Fourth Proportional to 1,255.29, 1,732.92 and 813.55

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Solution

The fourth proportional to 1,255.29, 1,732.92 and 813.55 is: 1,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.29 : 1,732.92 = 813.55 : x
  2. Step 2: Convert to fraction form
    1,255.29/1,732.92 = 813.55/x
  3. Step 3: Cross multiply
    1,255.29x = 1,732.92 × 813.55
  4. Step 4: Simplify right side
    1,255.29x = 1,409,812.73
  5. Step 5: Solve for x
    x = 1,409,812.73/1,255.29
  6. Step 6: Final answer
    x = 1,123.10

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1.5x scale

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.