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Finding the Fourth Proportional to 515.85, 711.87 and 306.13

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Solution

The fourth proportional to 515.85, 711.87 and 306.13 is: 422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.85 : 711.87 = 306.13 : x
  2. Step 2: Convert to fraction form
    515.85/711.87 = 306.13/x
  3. Step 3: Cross multiply
    515.85x = 711.87 × 306.13
  4. Step 4: Simplify right side
    515.85x = 217,924.13
  5. Step 5: Solve for x
    x = 217,924.13/515.85
  6. Step 6: Final answer
    x = 422.46

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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.