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Finding the Fourth Proportional to 413.73, 617.47 and 383.63

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Solution

The fourth proportional to 413.73, 617.47 and 383.63 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.73 : 617.47 = 383.63 : x
  2. Step 2: Convert to fraction form
    413.73/617.47 = 383.63/x
  3. Step 3: Cross multiply
    413.73x = 617.47 × 383.63
  4. Step 4: Simplify right side
    413.73x = 236,875.97
  5. Step 5: Solve for x
    x = 236,875.97/413.73
  6. Step 6: Final answer
    x = 572.54

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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.