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Finding the Fourth Proportional to 413.42, 617.10 and 383.38

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Solution

The fourth proportional to 413.42, 617.10 and 383.38 is: 572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 617.10 = 383.38 : x
  2. Step 2: Convert to fraction form
    413.42/617.10 = 383.38/x
  3. Step 3: Cross multiply
    413.42x = 617.10 × 383.38
  4. Step 4: Simplify right side
    413.42x = 236,578.80
  5. Step 5: Solve for x
    x = 236,578.80/413.42
  6. Step 6: Final answer
    x = 572.25

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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.