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Finding the Fourth Proportional to 518.34, 715.03 and 341.11

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Solution

The fourth proportional to 518.34, 715.03 and 341.11 is: 470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.34 : 715.03 = 341.11 : x
  2. Step 2: Convert to fraction form
    518.34/715.03 = 341.11/x
  3. Step 3: Cross multiply
    518.34x = 715.03 × 341.11
  4. Step 4: Simplify right side
    518.34x = 243,905.94
  5. Step 5: Solve for x
    x = 243,905.94/518.34
  6. Step 6: Final answer
    x = 470.55

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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.