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Finding the Fourth Proportional to 413.17, 616.24 and 348.59

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Solution

The fourth proportional to 413.17, 616.24 and 348.59 is: 519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.17 : 616.24 = 348.59 : x
  2. Step 2: Convert to fraction form
    413.17/616.24 = 348.59/x
  3. Step 3: Cross multiply
    413.17x = 616.24 × 348.59
  4. Step 4: Simplify right side
    413.17x = 214,815.10
  5. Step 5: Solve for x
    x = 214,815.10/413.17
  6. Step 6: Final answer
    x = 519.92

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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.