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Finding the Fourth Proportional to 518.15, 715.08 and 343.19

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Solution

The fourth proportional to 518.15, 715.08 and 343.19 is: 473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.15 : 715.08 = 343.19 : x
  2. Step 2: Convert to fraction form
    518.15/715.08 = 343.19/x
  3. Step 3: Cross multiply
    518.15x = 715.08 × 343.19
  4. Step 4: Simplify right side
    518.15x = 245,408.31
  5. Step 5: Solve for x
    x = 245,408.31/518.15
  6. Step 6: Final answer
    x = 473.62

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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.