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Finding the Fourth Proportional to 515.57, 711.11 and 341.15

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Solution

The fourth proportional to 515.57, 711.11 and 341.15 is: 470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.57 : 711.11 = 341.15 : x
  2. Step 2: Convert to fraction form
    515.57/711.11 = 341.15/x
  3. Step 3: Cross multiply
    515.57x = 711.11 × 341.15
  4. Step 4: Simplify right side
    515.57x = 242,592.47
  5. Step 5: Solve for x
    x = 242,592.47/515.57
  6. Step 6: Final answer
    x = 470.54

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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.