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Finding the Fourth Proportional to 587, 878.34 and 369.20

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Solution

The fourth proportional to 587, 878.34 and 369.20 is: 552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    587 : 878.34 = 369.20 : x
  2. Step 2: Convert to fraction form
    587/878.34 = 369.20/x
  3. Step 3: Cross multiply
    587x = 878.34 × 369.20
  4. Step 4: Simplify right side
    587x = 324,283.13
  5. Step 5: Solve for x
    x = 324,283.13/587
  6. Step 6: Final answer
    x = 552.44

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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.