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Finding the Fourth Proportional to 518.57, 715.62 and 285.69

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Solution

The fourth proportional to 518.57, 715.62 and 285.69 is: 394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.57 : 715.62 = 285.69 : x
  2. Step 2: Convert to fraction form
    518.57/715.62 = 285.69/x
  3. Step 3: Cross multiply
    518.57x = 715.62 × 285.69
  4. Step 4: Simplify right side
    518.57x = 204,444.05
  5. Step 5: Solve for x
    x = 204,444.05/518.57
  6. Step 6: Final answer
    x = 394.25

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Double scale
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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.