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Finding the Fourth Proportional to 517.04, 713.40 and 377.22

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Solution

The fourth proportional to 517.04, 713.40 and 377.22 is: 520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.04 : 713.40 = 377.22 : x
  2. Step 2: Convert to fraction form
    517.04/713.40 = 377.22/x
  3. Step 3: Cross multiply
    517.04x = 713.40 × 377.22
  4. Step 4: Simplify right side
    517.04x = 269,110.01
  5. Step 5: Solve for x
    x = 269,110.01/517.04
  6. Step 6: Final answer
    x = 520.48

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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.