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Finding the Fourth Proportional to 773.78, 1,159.58 and 427.27

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Solution

The fourth proportional to 773.78, 1,159.58 and 427.27 is: 640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.78 : 1,159.58 = 427.27 : x
  2. Step 2: Convert to fraction form
    773.78/1,159.58 = 427.27/x
  3. Step 3: Cross multiply
    773.78x = 1,159.58 × 427.27
  4. Step 4: Simplify right side
    773.78x = 495,448.71
  5. Step 5: Solve for x
    x = 495,448.71/773.78
  6. Step 6: Final answer
    x = 640.30

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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.