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Finding the Fourth Proportional to 774.40, 1,162.48 and 486

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Solution

The fourth proportional to 774.40, 1,162.48 and 486 is: 729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.40 : 1,162.48 = 486 : x
  2. Step 2: Convert to fraction form
    774.40/1,162.48 = 486/x
  3. Step 3: Cross multiply
    774.40x = 1,162.48 × 486
  4. Step 4: Simplify right side
    774.40x = 564,965.28
  5. Step 5: Solve for x
    x = 564,965.28/774.40
  6. Step 6: Final answer
    x = 729.55

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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.