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Finding the Fourth Proportional to 413.59, 617.78 and 310.33

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Solution

The fourth proportional to 413.59, 617.78 and 310.33 is: 463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.59 : 617.78 = 310.33 : x
  2. Step 2: Convert to fraction form
    413.59/617.78 = 310.33/x
  3. Step 3: Cross multiply
    413.59x = 617.78 × 310.33
  4. Step 4: Simplify right side
    413.59x = 191,715.67
  5. Step 5: Solve for x
    x = 191,715.67/413.59
  6. Step 6: Final answer
    x = 463.54

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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.