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Finding the Fourth Proportional to 413.14, 616.75 and 383.14

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Solution

The fourth proportional to 413.14, 616.75 and 383.14 is: 571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 616.75 = 383.14 : x
  2. Step 2: Convert to fraction form
    413.14/616.75 = 383.14/x
  3. Step 3: Cross multiply
    413.14x = 616.75 × 383.14
  4. Step 4: Simplify right side
    413.14x = 236,301.60
  5. Step 5: Solve for x
    x = 236,301.60/413.14
  6. Step 6: Final answer
    x = 571.96

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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.