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Finding the Fourth Proportional to 774.51, 1,065.78 and 769.71

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Solution

The fourth proportional to 774.51, 1,065.78 and 769.71 is: 1,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.51 : 1,065.78 = 769.71 : x
  2. Step 2: Convert to fraction form
    774.51/1,065.78 = 769.71/x
  3. Step 3: Cross multiply
    774.51x = 1,065.78 × 769.71
  4. Step 4: Simplify right side
    774.51x = 820,341.52
  5. Step 5: Solve for x
    x = 820,341.52/774.51
  6. Step 6: Final answer
    x = 1,059.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.