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Finding the Fourth Proportional to 517.24, 713.44 and 377.11

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Solution

The fourth proportional to 517.24, 713.44 and 377.11 is: 520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.24 : 713.44 = 377.11 : x
  2. Step 2: Convert to fraction form
    517.24/713.44 = 377.11/x
  3. Step 3: Cross multiply
    517.24x = 713.44 × 377.11
  4. Step 4: Simplify right side
    517.24x = 269,045.36
  5. Step 5: Solve for x
    x = 269,045.36/517.24
  6. Step 6: Final answer
    x = 520.16

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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.