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Finding the Fourth Proportional to 773.36, 1,159.90 and 383.23

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Solution

The fourth proportional to 773.36, 1,159.90 and 383.23 is: 574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.36 : 1,159.90 = 383.23 : x
  2. Step 2: Convert to fraction form
    773.36/1,159.90 = 383.23/x
  3. Step 3: Cross multiply
    773.36x = 1,159.90 × 383.23
  4. Step 4: Simplify right side
    773.36x = 444,508.48
  5. Step 5: Solve for x
    x = 444,508.48/773.36
  6. Step 6: Final answer
    x = 574.78

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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.