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Finding the Fourth Proportional to 689.27, 1,034.12 and 459.06

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Solution

The fourth proportional to 689.27, 1,034.12 and 459.06 is: 688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.27 : 1,034.12 = 459.06 : x
  2. Step 2: Convert to fraction form
    689.27/1,034.12 = 459.06/x
  3. Step 3: Cross multiply
    689.27x = 1,034.12 × 459.06
  4. Step 4: Simplify right side
    689.27x = 474,720.40
  5. Step 5: Solve for x
    x = 474,720.40/689.27
  6. Step 6: Final answer
    x = 688.73

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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.