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Finding the Fourth Proportional to 506.97, 698.63 and 413.55

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Solution

The fourth proportional to 506.97, 698.63 and 413.55 is: 569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.97 : 698.63 = 413.55 : x
  2. Step 2: Convert to fraction form
    506.97/698.63 = 413.55/x
  3. Step 3: Cross multiply
    506.97x = 698.63 × 413.55
  4. Step 4: Simplify right side
    506.97x = 288,916.37
  5. Step 5: Solve for x
    x = 288,916.37/506.97
  6. Step 6: Final answer
    x = 569.89

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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.