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Finding the Fourth Proportional to 689.52, 949.32 and 596.10

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Solution

The fourth proportional to 689.52, 949.32 and 596.10 is: 820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.52 : 949.32 = 596.10 : x
  2. Step 2: Convert to fraction form
    689.52/949.32 = 596.10/x
  3. Step 3: Cross multiply
    689.52x = 949.32 × 596.10
  4. Step 4: Simplify right side
    689.52x = 565,889.65
  5. Step 5: Solve for x
    x = 565,889.65/689.52
  6. Step 6: Final answer
    x = 820.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.