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Finding the Fourth Proportional to 506.27, 698.48 and 412.85

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Solution

The fourth proportional to 506.27, 698.48 and 412.85 is: 569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.27 : 698.48 = 412.85 : x
  2. Step 2: Convert to fraction form
    506.27/698.48 = 412.85/x
  3. Step 3: Cross multiply
    506.27x = 698.48 × 412.85
  4. Step 4: Simplify right side
    506.27x = 288,370.25
  5. Step 5: Solve for x
    x = 288,370.25/506.27
  6. Step 6: Final answer
    x = 569.60

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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.