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Finding the Fourth Proportional to 698.57, 1,047.89 and 265.76

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Solution

The fourth proportional to 698.57, 1,047.89 and 265.76 is: 398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.57 : 1,047.89 = 265.76 : x
  2. Step 2: Convert to fraction form
    698.57/1,047.89 = 265.76/x
  3. Step 3: Cross multiply
    698.57x = 1,047.89 × 265.76
  4. Step 4: Simplify right side
    698.57x = 278,487.25
  5. Step 5: Solve for x
    x = 278,487.25/698.57
  6. Step 6: Final answer
    x = 398.65

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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.