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Finding the Fourth Proportional to 689.52, 1,034.19 and 470.46

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Solution

The fourth proportional to 689.52, 1,034.19 and 470.46 is: 705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.52 : 1,034.19 = 470.46 : x
  2. Step 2: Convert to fraction form
    689.52/1,034.19 = 470.46/x
  3. Step 3: Cross multiply
    689.52x = 1,034.19 × 470.46
  4. Step 4: Simplify right side
    689.52x = 486,545.03
  5. Step 5: Solve for x
    x = 486,545.03/689.52
  6. Step 6: Final answer
    x = 705.63

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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.