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Finding the Fourth Proportional to 689.68, 1,034.68 and 364.97

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Solution

The fourth proportional to 689.68, 1,034.68 and 364.97 is: 547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.68 : 1,034.68 = 364.97 : x
  2. Step 2: Convert to fraction form
    689.68/1,034.68 = 364.97/x
  3. Step 3: Cross multiply
    689.68x = 1,034.68 × 364.97
  4. Step 4: Simplify right side
    689.68x = 377,630.20
  5. Step 5: Solve for x
    x = 377,630.20/689.68
  6. Step 6: Final answer
    x = 547.55

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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.