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Finding the Fourth Proportional to 776.71, 1,158.11 and 767.11

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Solution

The fourth proportional to 776.71, 1,158.11 and 767.11 is: 1,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.71 : 1,158.11 = 767.11 : x
  2. Step 2: Convert to fraction form
    776.71/1,158.11 = 767.11/x
  3. Step 3: Cross multiply
    776.71x = 1,158.11 × 767.11
  4. Step 4: Simplify right side
    776.71x = 888,397.76
  5. Step 5: Solve for x
    x = 888,397.76/776.71
  6. Step 6: Final answer
    x = 1,143.80

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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.