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Finding the Fourth Proportional to 511.50, 706.24 and 413.70

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Solution

The fourth proportional to 511.50, 706.24 and 413.70 is: 571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 706.24 = 413.70 : x
  2. Step 2: Convert to fraction form
    511.50/706.24 = 413.70/x
  3. Step 3: Cross multiply
    511.50x = 706.24 × 413.70
  4. Step 4: Simplify right side
    511.50x = 292,171.49
  5. Step 5: Solve for x
    x = 292,171.49/511.50
  6. Step 6: Final answer
    x = 571.21

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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.