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Finding the Fourth Proportional to 564.20, 843.60 and 418.40

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Solution

The fourth proportional to 564.20, 843.60 and 418.40 is: 625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.20 : 843.60 = 418.40 : x
  2. Step 2: Convert to fraction form
    564.20/843.60 = 418.40/x
  3. Step 3: Cross multiply
    564.20x = 843.60 × 418.40
  4. Step 4: Simplify right side
    564.20x = 352,962.24
  5. Step 5: Solve for x
    x = 352,962.24/564.20
  6. Step 6: Final answer
    x = 625.60

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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.