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Finding the Fourth Proportional to 868.57, 1,296.06 and 776.50

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Solution

The fourth proportional to 868.57, 1,296.06 and 776.50 is: 1,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.57 : 1,296.06 = 776.50 : x
  2. Step 2: Convert to fraction form
    868.57/1,296.06 = 776.50/x
  3. Step 3: Cross multiply
    868.57x = 1,296.06 × 776.50
  4. Step 4: Simplify right side
    868.57x = 1,006,390.59
  5. Step 5: Solve for x
    x = 1,006,390.59/868.57
  6. Step 6: Final answer
    x = 1,158.68

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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.