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Finding the Fourth Proportional to 774.06, 1,160.28 and 286.80

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Solution

The fourth proportional to 774.06, 1,160.28 and 286.80 is: 429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.06 : 1,160.28 = 286.80 : x
  2. Step 2: Convert to fraction form
    774.06/1,160.28 = 286.80/x
  3. Step 3: Cross multiply
    774.06x = 1,160.28 × 286.80
  4. Step 4: Simplify right side
    774.06x = 332,768.30
  5. Step 5: Solve for x
    x = 332,768.30/774.06
  6. Step 6: Final answer
    x = 429.90

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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.