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Finding the Fourth Proportional to 517.11, 713.59 and 284.23

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Solution

The fourth proportional to 517.11, 713.59 and 284.23 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.11 : 713.59 = 284.23 : x
  2. Step 2: Convert to fraction form
    517.11/713.59 = 284.23/x
  3. Step 3: Cross multiply
    517.11x = 713.59 × 284.23
  4. Step 4: Simplify right side
    517.11x = 202,823.69
  5. Step 5: Solve for x
    x = 202,823.69/517.11
  6. Step 6: Final answer
    x = 392.23

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