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Finding the Fourth Proportional to 515.98, 774.07 and 150.73

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Solution

The fourth proportional to 515.98, 774.07 and 150.73 is: 226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.98 : 774.07 = 150.73 : x
  2. Step 2: Convert to fraction form
    515.98/774.07 = 150.73/x
  3. Step 3: Cross multiply
    515.98x = 774.07 × 150.73
  4. Step 4: Simplify right side
    515.98x = 116,678.46
  5. Step 5: Solve for x
    x = 116,678.46/515.98
  6. Step 6: Final answer
    x = 226.13

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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.