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Finding the Fourth Proportional to 517.25, 713.81 and 284.38

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Solution

The fourth proportional to 517.25, 713.81 and 284.38 is: 392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.25 : 713.81 = 284.38 : x
  2. Step 2: Convert to fraction form
    517.25/713.81 = 284.38/x
  3. Step 3: Cross multiply
    517.25x = 713.81 × 284.38
  4. Step 4: Simplify right side
    517.25x = 202,993.29
  5. Step 5: Solve for x
    x = 202,993.29/517.25
  6. Step 6: Final answer
    x = 392.45

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Double scale
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1.5x scale

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.