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Finding the Fourth Proportional to 517.17, 713.70 and 284.30

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Solution

The fourth proportional to 517.17, 713.70 and 284.30 is: 392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.17 : 713.70 = 284.30 : x
  2. Step 2: Convert to fraction form
    517.17/713.70 = 284.30/x
  3. Step 3: Cross multiply
    517.17x = 713.70 × 284.30
  4. Step 4: Simplify right side
    517.17x = 202,905.08
  5. Step 5: Solve for x
    x = 202,905.08/517.17
  6. Step 6: Final answer
    x = 392.33

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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.