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Finding the Fourth Proportional to 427.59, 640.43 and 368.36

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Solution

The fourth proportional to 427.59, 640.43 and 368.36 is: 551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.59 : 640.43 = 368.36 : x
  2. Step 2: Convert to fraction form
    427.59/640.43 = 368.36/x
  3. Step 3: Cross multiply
    427.59x = 640.43 × 368.36
  4. Step 4: Simplify right side
    427.59x = 235,903.75
  5. Step 5: Solve for x
    x = 235,903.75/427.59
  6. Step 6: Final answer
    x = 551.71

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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.