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Finding the Fourth Proportional to 513.95, 774.87 and 478.71

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Solution

The fourth proportional to 513.95, 774.87 and 478.71 is: 721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.95 : 774.87 = 478.71 : x
  2. Step 2: Convert to fraction form
    513.95/774.87 = 478.71/x
  3. Step 3: Cross multiply
    513.95x = 774.87 × 478.71
  4. Step 4: Simplify right side
    513.95x = 370,936.22
  5. Step 5: Solve for x
    x = 370,936.22/513.95
  6. Step 6: Final answer
    x = 721.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.