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Finding the Fourth Proportional to 717.99, 1,076.46 and 230.76

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Solution

The fourth proportional to 717.99, 1,076.46 and 230.76 is: 345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.99 : 1,076.46 = 230.76 : x
  2. Step 2: Convert to fraction form
    717.99/1,076.46 = 230.76/x
  3. Step 3: Cross multiply
    717.99x = 1,076.46 × 230.76
  4. Step 4: Simplify right side
    717.99x = 248,403.91
  5. Step 5: Solve for x
    x = 248,403.91/717.99
  6. Step 6: Final answer
    x = 345.97

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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.