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Finding the Fourth Proportional to 941.24, 1,413.54 and 653.24

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Solution

The fourth proportional to 941.24, 1,413.54 and 653.24 is: 981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.24 : 1,413.54 = 653.24 : x
  2. Step 2: Convert to fraction form
    941.24/1,413.54 = 653.24/x
  3. Step 3: Cross multiply
    941.24x = 1,413.54 × 653.24
  4. Step 4: Simplify right side
    941.24x = 923,380.87
  5. Step 5: Solve for x
    x = 923,380.87/941.24
  6. Step 6: Final answer
    x = 981.03

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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.