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Finding the Fourth Proportional to 687.13, 1,024.08 and 676.19

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Solution

The fourth proportional to 687.13, 1,024.08 and 676.19 is: 1,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.13 : 1,024.08 = 676.19 : x
  2. Step 2: Convert to fraction form
    687.13/1,024.08 = 676.19/x
  3. Step 3: Cross multiply
    687.13x = 1,024.08 × 676.19
  4. Step 4: Simplify right side
    687.13x = 692,472.66
  5. Step 5: Solve for x
    x = 692,472.66/687.13
  6. Step 6: Final answer
    x = 1,007.78

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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.