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Finding the Fourth Proportional to 515.73, 711.70 and 279.68

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Solution

The fourth proportional to 515.73, 711.70 and 279.68 is: 385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.73 : 711.70 = 279.68 : x
  2. Step 2: Convert to fraction form
    515.73/711.70 = 279.68/x
  3. Step 3: Cross multiply
    515.73x = 711.70 × 279.68
  4. Step 4: Simplify right side
    515.73x = 199,046.48
  5. Step 5: Solve for x
    x = 199,046.48/515.73
  6. Step 6: Final answer
    x = 385.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.