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Finding the Fourth Proportional to 510.57, 762.41 and 413.17

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Solution

The fourth proportional to 510.57, 762.41 and 413.17 is: 616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.57 : 762.41 = 413.17 : x
  2. Step 2: Convert to fraction form
    510.57/762.41 = 413.17/x
  3. Step 3: Cross multiply
    510.57x = 762.41 × 413.17
  4. Step 4: Simplify right side
    510.57x = 315,004.07
  5. Step 5: Solve for x
    x = 315,004.07/510.57
  6. Step 6: Final answer
    x = 616.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.