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Finding the Fourth Proportional to 517.65, 712.71 and 438.79

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Solution

The fourth proportional to 517.65, 712.71 and 438.79 is: 604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.65 : 712.71 = 438.79 : x
  2. Step 2: Convert to fraction form
    517.65/712.71 = 438.79/x
  3. Step 3: Cross multiply
    517.65x = 712.71 × 438.79
  4. Step 4: Simplify right side
    517.65x = 312,728.24
  5. Step 5: Solve for x
    x = 312,728.24/517.65
  6. Step 6: Final answer
    x = 604.14

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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.