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Finding the Fourth Proportional to 413.92, 617.68 and 367.91

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Solution

The fourth proportional to 413.92, 617.68 and 367.91 is: 549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.92 : 617.68 = 367.91 : x
  2. Step 2: Convert to fraction form
    413.92/617.68 = 367.91/x
  3. Step 3: Cross multiply
    413.92x = 617.68 × 367.91
  4. Step 4: Simplify right side
    413.92x = 227,250.34
  5. Step 5: Solve for x
    x = 227,250.34/413.92
  6. Step 6: Final answer
    x = 549.02

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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.