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Finding the Fourth Proportional to 689.60, 1,033.32 and 580.88

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Solution

The fourth proportional to 689.60, 1,033.32 and 580.88 is: 870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.60 : 1,033.32 = 580.88 : x
  2. Step 2: Convert to fraction form
    689.60/1,033.32 = 580.88/x
  3. Step 3: Cross multiply
    689.60x = 1,033.32 × 580.88
  4. Step 4: Simplify right side
    689.60x = 600,234.92
  5. Step 5: Solve for x
    x = 600,234.92/689.60
  6. Step 6: Final answer
    x = 870.41

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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.