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Finding the Fourth Proportional to 689.60, 1,035.84 and 581.60

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Solution

The fourth proportional to 689.60, 1,035.84 and 581.60 is: 873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.60 : 1,035.84 = 581.60 : x
  2. Step 2: Convert to fraction form
    689.60/1,035.84 = 581.60/x
  3. Step 3: Cross multiply
    689.60x = 1,035.84 × 581.60
  4. Step 4: Simplify right side
    689.60x = 602,444.54
  5. Step 5: Solve for x
    x = 602,444.54/689.60
  6. Step 6: Final answer
    x = 873.61

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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.