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Finding the Fourth Proportional to 517.72, 713.73 and 438.72

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Solution

The fourth proportional to 517.72, 713.73 and 438.72 is: 604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.72 : 713.73 = 438.72 : x
  2. Step 2: Convert to fraction form
    517.72/713.73 = 438.72/x
  3. Step 3: Cross multiply
    517.72x = 713.73 × 438.72
  4. Step 4: Simplify right side
    517.72x = 313,127.63
  5. Step 5: Solve for x
    x = 313,127.63/517.72
  6. Step 6: Final answer
    x = 604.82

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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.