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Finding the Fourth Proportional to 689.72, 1,034.17 and 473.45

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Solution

The fourth proportional to 689.72, 1,034.17 and 473.45 is: 709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.72 : 1,034.17 = 473.45 : x
  2. Step 2: Convert to fraction form
    689.72/1,034.17 = 473.45/x
  3. Step 3: Cross multiply
    689.72x = 1,034.17 × 473.45
  4. Step 4: Simplify right side
    689.72x = 489,621.43
  5. Step 5: Solve for x
    x = 489,621.43/689.72
  6. Step 6: Final answer
    x = 709.89

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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.