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Finding the Fourth Proportional to 816.89, 1,218.09 and 719.76

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Solution

The fourth proportional to 816.89, 1,218.09 and 719.76 is: 1,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.89 : 1,218.09 = 719.76 : x
  2. Step 2: Convert to fraction form
    816.89/1,218.09 = 719.76/x
  3. Step 3: Cross multiply
    816.89x = 1,218.09 × 719.76
  4. Step 4: Simplify right side
    816.89x = 876,732.46
  5. Step 5: Solve for x
    x = 876,732.46/816.89
  6. Step 6: Final answer
    x = 1,073.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.