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Finding the Fourth Proportional to 687.96, 1,025.73 and 680.76

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Solution

The fourth proportional to 687.96, 1,025.73 and 680.76 is: 1,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.96 : 1,025.73 = 680.76 : x
  2. Step 2: Convert to fraction form
    687.96/1,025.73 = 680.76/x
  3. Step 3: Cross multiply
    687.96x = 1,025.73 × 680.76
  4. Step 4: Simplify right side
    687.96x = 698,275.95
  5. Step 5: Solve for x
    x = 698,275.95/687.96
  6. Step 6: Final answer
    x = 1,014.99

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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.