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Finding the Fourth Proportional to 517.59, 713.81 and 371.18

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Solution

The fourth proportional to 517.59, 713.81 and 371.18 is: 511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 713.81 = 371.18 : x
  2. Step 2: Convert to fraction form
    517.59/713.81 = 371.18/x
  3. Step 3: Cross multiply
    517.59x = 713.81 × 371.18
  4. Step 4: Simplify right side
    517.59x = 264,954.71
  5. Step 5: Solve for x
    x = 264,954.71/517.59
  6. Step 6: Final answer
    x = 511.90

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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.