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Finding the Fourth Proportional to 517.69, 712.87 and 506.19

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Solution

The fourth proportional to 517.69, 712.87 and 506.19 is: 697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.69 : 712.87 = 506.19 : x
  2. Step 2: Convert to fraction form
    517.69/712.87 = 506.19/x
  3. Step 3: Cross multiply
    517.69x = 712.87 × 506.19
  4. Step 4: Simplify right side
    517.69x = 360,846.40
  5. Step 5: Solve for x
    x = 360,846.40/517.69
  6. Step 6: Final answer
    x = 697.04

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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.