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Finding the Fourth Proportional to 905.47, 1,362.33 and 540.54

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Solution

The fourth proportional to 905.47, 1,362.33 and 540.54 is: 813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.47 : 1,362.33 = 540.54 : x
  2. Step 2: Convert to fraction form
    905.47/1,362.33 = 540.54/x
  3. Step 3: Cross multiply
    905.47x = 1,362.33 × 540.54
  4. Step 4: Simplify right side
    905.47x = 736,393.86
  5. Step 5: Solve for x
    x = 736,393.86/905.47
  6. Step 6: Final answer
    x = 813.27

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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.