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Finding the Fourth Proportional to 868.69, 1,296.36 and 776.42

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Solution

The fourth proportional to 868.69, 1,296.36 and 776.42 is: 1,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.69 : 1,296.36 = 776.42 : x
  2. Step 2: Convert to fraction form
    868.69/1,296.36 = 776.42/x
  3. Step 3: Cross multiply
    868.69x = 1,296.36 × 776.42
  4. Step 4: Simplify right side
    868.69x = 1,006,519.83
  5. Step 5: Solve for x
    x = 1,006,519.83/868.69
  6. Step 6: Final answer
    x = 1,158.66

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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.