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Finding the Fourth Proportional to 698.31, 1,047.74 and 265.77

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Solution

The fourth proportional to 698.31, 1,047.74 and 265.77 is: 398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.31 : 1,047.74 = 265.77 : x
  2. Step 2: Convert to fraction form
    698.31/1,047.74 = 265.77/x
  3. Step 3: Cross multiply
    698.31x = 1,047.74 × 265.77
  4. Step 4: Simplify right side
    698.31x = 278,456.53
  5. Step 5: Solve for x
    x = 278,456.53/698.31
  6. Step 6: Final answer
    x = 398.76

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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.