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Finding the Fourth Proportional to 517.10, 713.57 and 284.22

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Solution

The fourth proportional to 517.10, 713.57 and 284.22 is: 392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.10 : 713.57 = 284.22 : x
  2. Step 2: Convert to fraction form
    517.10/713.57 = 284.22/x
  3. Step 3: Cross multiply
    517.10x = 713.57 × 284.22
  4. Step 4: Simplify right side
    517.10x = 202,809.44
  5. Step 5: Solve for x
    x = 202,809.44/517.10
  6. Step 6: Final answer
    x = 392.21

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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.