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Finding the Fourth Proportional to 687.85, 1,031.00 and 610.97

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Solution

The fourth proportional to 687.85, 1,031.00 and 610.97 is: 915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.85 : 1,031.00 = 610.97 : x
  2. Step 2: Convert to fraction form
    687.85/1,031.00 = 610.97/x
  3. Step 3: Cross multiply
    687.85x = 1,031.00 × 610.97
  4. Step 4: Simplify right side
    687.85x = 629,901.86
  5. Step 5: Solve for x
    x = 629,901.86/687.85
  6. Step 6: Final answer
    x = 915.76

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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.