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Finding the Fourth Proportional to 690.54, 1,040.88 and 680.82

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Solution

The fourth proportional to 690.54, 1,040.88 and 680.82 is: 1,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.54 : 1,040.88 = 680.82 : x
  2. Step 2: Convert to fraction form
    690.54/1,040.88 = 680.82/x
  3. Step 3: Cross multiply
    690.54x = 1,040.88 × 680.82
  4. Step 4: Simplify right side
    690.54x = 708,651.92
  5. Step 5: Solve for x
    x = 708,651.92/690.54
  6. Step 6: Final answer
    x = 1,026.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.