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Finding the Fourth Proportional to 513.49, 774.80 and 494.52

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Solution

The fourth proportional to 513.49, 774.80 and 494.52 is: 746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.49 : 774.80 = 494.52 : x
  2. Step 2: Convert to fraction form
    513.49/774.80 = 494.52/x
  3. Step 3: Cross multiply
    513.49x = 774.80 × 494.52
  4. Step 4: Simplify right side
    513.49x = 383,154.10
  5. Step 5: Solve for x
    x = 383,154.10/513.49
  6. Step 6: Final answer
    x = 746.18

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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.