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Finding the Fourth Proportional to 961.73, 1,443.17 and 413.90

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Solution

The fourth proportional to 961.73, 1,443.17 and 413.90 is: 621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.73 : 1,443.17 = 413.90 : x
  2. Step 2: Convert to fraction form
    961.73/1,443.17 = 413.90/x
  3. Step 3: Cross multiply
    961.73x = 1,443.17 × 413.90
  4. Step 4: Simplify right side
    961.73x = 597,328.06
  5. Step 5: Solve for x
    x = 597,328.06/961.73
  6. Step 6: Final answer
    x = 621.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.