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Finding the Fourth Proportional to 901.24, 1,243.62 and 523

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Solution

The fourth proportional to 901.24, 1,243.62 and 523 is: 721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.24 : 1,243.62 = 523 : x
  2. Step 2: Convert to fraction form
    901.24/1,243.62 = 523/x
  3. Step 3: Cross multiply
    901.24x = 1,243.62 × 523
  4. Step 4: Simplify right side
    901.24x = 650,413.26
  5. Step 5: Solve for x
    x = 650,413.26/901.24
  6. Step 6: Final answer
    x = 721.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.