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Finding the Fourth Proportional to 905.78, 1,356.69 and 539.76

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Solution

The fourth proportional to 905.78, 1,356.69 and 539.76 is: 808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.78 : 1,356.69 = 539.76 : x
  2. Step 2: Convert to fraction form
    905.78/1,356.69 = 539.76/x
  3. Step 3: Cross multiply
    905.78x = 1,356.69 × 539.76
  4. Step 4: Simplify right side
    905.78x = 732,286.99
  5. Step 5: Solve for x
    x = 732,286.99/905.78
  6. Step 6: Final answer
    x = 808.46

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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.