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Finding the Fourth Proportional to 943.29, 1,413.49 and 395.17

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Solution

The fourth proportional to 943.29, 1,413.49 and 395.17 is: 592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.29 : 1,413.49 = 395.17 : x
  2. Step 2: Convert to fraction form
    943.29/1,413.49 = 395.17/x
  3. Step 3: Cross multiply
    943.29x = 1,413.49 × 395.17
  4. Step 4: Simplify right side
    943.29x = 558,566.87
  5. Step 5: Solve for x
    x = 558,566.87/943.29
  6. Step 6: Final answer
    x = 592.15

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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.