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Finding the Fourth Proportional to 1,255.23, 1,731.69 and 882.46

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Solution

The fourth proportional to 1,255.23, 1,731.69 and 882.46 is: 1,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.23 : 1,731.69 = 882.46 : x
  2. Step 2: Convert to fraction form
    1,255.23/1,731.69 = 882.46/x
  3. Step 3: Cross multiply
    1,255.23x = 1,731.69 × 882.46
  4. Step 4: Simplify right side
    1,255.23x = 1,528,147.16
  5. Step 5: Solve for x
    x = 1,528,147.16/1,255.23
  6. Step 6: Final answer
    x = 1,217.42

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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.