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Finding the Fourth Proportional to 778.88, 1,163.04 and 690.56

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Solution

The fourth proportional to 778.88, 1,163.04 and 690.56 is: 1,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.88 : 1,163.04 = 690.56 : x
  2. Step 2: Convert to fraction form
    778.88/1,163.04 = 690.56/x
  3. Step 3: Cross multiply
    778.88x = 1,163.04 × 690.56
  4. Step 4: Simplify right side
    778.88x = 803,148.90
  5. Step 5: Solve for x
    x = 803,148.90/778.88
  6. Step 6: Final answer
    x = 1,031.16

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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.