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Finding the Fourth Proportional to 689.83, 1,034.85 and 479.65

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Solution

The fourth proportional to 689.83, 1,034.85 and 479.65 is: 719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.83 : 1,034.85 = 479.65 : x
  2. Step 2: Convert to fraction form
    689.83/1,034.85 = 479.65/x
  3. Step 3: Cross multiply
    689.83x = 1,034.85 × 479.65
  4. Step 4: Simplify right side
    689.83x = 496,365.80
  5. Step 5: Solve for x
    x = 496,365.80/689.83
  6. Step 6: Final answer
    x = 719.55

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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.