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Finding the Fourth Proportional to 517.46, 711.99 and 505.15

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Solution

The fourth proportional to 517.46, 711.99 and 505.15 is: 695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.46 : 711.99 = 505.15 : x
  2. Step 2: Convert to fraction form
    517.46/711.99 = 505.15/x
  3. Step 3: Cross multiply
    517.46x = 711.99 × 505.15
  4. Step 4: Simplify right side
    517.46x = 359,659.97
  5. Step 5: Solve for x
    x = 359,659.97/517.46
  6. Step 6: Final answer
    x = 695.06

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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.