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Finding the Fourth Proportional to 518.50, 715.55 and 344.17

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Solution

The fourth proportional to 518.50, 715.55 and 344.17 is: 474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.50 : 715.55 = 344.17 : x
  2. Step 2: Convert to fraction form
    518.50/715.55 = 344.17/x
  3. Step 3: Cross multiply
    518.50x = 715.55 × 344.17
  4. Step 4: Simplify right side
    518.50x = 246,270.84
  5. Step 5: Solve for x
    x = 246,270.84/518.50
  6. Step 6: Final answer
    x = 474.97

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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.