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Finding the Fourth Proportional to 689.95, 1,035.01 and 227.61

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Solution

The fourth proportional to 689.95, 1,035.01 and 227.61 is: 341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.95 : 1,035.01 = 227.61 : x
  2. Step 2: Convert to fraction form
    689.95/1,035.01 = 227.61/x
  3. Step 3: Cross multiply
    689.95x = 1,035.01 × 227.61
  4. Step 4: Simplify right side
    689.95x = 235,578.63
  5. Step 5: Solve for x
    x = 235,578.63/689.95
  6. Step 6: Final answer
    x = 341.44

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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.