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Finding the Fourth Proportional to 774.32, 1,160.09 and 513.71

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Solution

The fourth proportional to 774.32, 1,160.09 and 513.71 is: 769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.32 : 1,160.09 = 513.71 : x
  2. Step 2: Convert to fraction form
    774.32/1,160.09 = 513.71/x
  3. Step 3: Cross multiply
    774.32x = 1,160.09 × 513.71
  4. Step 4: Simplify right side
    774.32x = 595,941.46
  5. Step 5: Solve for x
    x = 595,941.46/774.32
  6. Step 6: Final answer
    x = 769.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.