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Finding the Fourth Proportional to 515.96, 712.14 and 341.24

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Solution

The fourth proportional to 515.96, 712.14 and 341.24 is: 470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.96 : 712.14 = 341.24 : x
  2. Step 2: Convert to fraction form
    515.96/712.14 = 341.24/x
  3. Step 3: Cross multiply
    515.96x = 712.14 × 341.24
  4. Step 4: Simplify right side
    515.96x = 243,010.65
  5. Step 5: Solve for x
    x = 243,010.65/515.96
  6. Step 6: Final answer
    x = 470.99

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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.