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Finding the Fourth Proportional to 412.59, 617.79 and 368.52

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Solution

The fourth proportional to 412.59, 617.79 and 368.52 is: 551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.59 : 617.79 = 368.52 : x
  2. Step 2: Convert to fraction form
    412.59/617.79 = 368.52/x
  3. Step 3: Cross multiply
    412.59x = 617.79 × 368.52
  4. Step 4: Simplify right side
    412.59x = 227,667.97
  5. Step 5: Solve for x
    x = 227,667.97/412.59
  6. Step 6: Final answer
    x = 551.80

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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.