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Finding the Fourth Proportional to 943.73, 1,413.70 and 455.30

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Solution

The fourth proportional to 943.73, 1,413.70 and 455.30 is: 682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.73 : 1,413.70 = 455.30 : x
  2. Step 2: Convert to fraction form
    943.73/1,413.70 = 455.30/x
  3. Step 3: Cross multiply
    943.73x = 1,413.70 × 455.30
  4. Step 4: Simplify right side
    943.73x = 643,657.61
  5. Step 5: Solve for x
    x = 643,657.61/943.73
  6. Step 6: Final answer
    x = 682.04

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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.