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Finding the Fourth Proportional to 689.55, 1,034.30 and 227.36

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Solution

The fourth proportional to 689.55, 1,034.30 and 227.36 is: 341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.55 : 1,034.30 = 227.36 : x
  2. Step 2: Convert to fraction form
    689.55/1,034.30 = 227.36/x
  3. Step 3: Cross multiply
    689.55x = 1,034.30 × 227.36
  4. Step 4: Simplify right side
    689.55x = 235,152.14
  5. Step 5: Solve for x
    x = 235,152.14/689.55
  6. Step 6: Final answer
    x = 341.02

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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.