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Finding the Fourth Proportional to 518.65, 715.34 and 338.83

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Solution

The fourth proportional to 518.65, 715.34 and 338.83 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.65 : 715.34 = 338.83 : x
  2. Step 2: Convert to fraction form
    518.65/715.34 = 338.83/x
  3. Step 3: Cross multiply
    518.65x = 715.34 × 338.83
  4. Step 4: Simplify right side
    518.65x = 242,373.38
  5. Step 5: Solve for x
    x = 242,373.38/518.65
  6. Step 6: Final answer
    x = 467.32

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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.