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Finding the Fourth Proportional to 943.43, 1,413.74 and 455.91

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Solution

The fourth proportional to 943.43, 1,413.74 and 455.91 is: 683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.43 : 1,413.74 = 455.91 : x
  2. Step 2: Convert to fraction form
    943.43/1,413.74 = 455.91/x
  3. Step 3: Cross multiply
    943.43x = 1,413.74 × 455.91
  4. Step 4: Simplify right side
    943.43x = 644,535.92
  5. Step 5: Solve for x
    x = 644,535.92/943.43
  6. Step 6: Final answer
    x = 683.19

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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.