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Finding the Fourth Proportional to 689.63, 1,034.95 and 458.97

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Solution

The fourth proportional to 689.63, 1,034.95 and 458.97 is: 688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.63 : 1,034.95 = 458.97 : x
  2. Step 2: Convert to fraction form
    689.63/1,034.95 = 458.97/x
  3. Step 3: Cross multiply
    689.63x = 1,034.95 × 458.97
  4. Step 4: Simplify right side
    689.63x = 475,008.12
  5. Step 5: Solve for x
    x = 475,008.12/689.63
  6. Step 6: Final answer
    x = 688.79

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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.