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Finding the Fourth Proportional to 687.05, 1,024.61 and 663.14

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Solution

The fourth proportional to 687.05, 1,024.61 and 663.14 is: 988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.05 : 1,024.61 = 663.14 : x
  2. Step 2: Convert to fraction form
    687.05/1,024.61 = 663.14/x
  3. Step 3: Cross multiply
    687.05x = 1,024.61 × 663.14
  4. Step 4: Simplify right side
    687.05x = 679,456.41
  5. Step 5: Solve for x
    x = 679,456.41/687.05
  6. Step 6: Final answer
    x = 988.94

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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.