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Finding the Fourth Proportional to 564.08, 843.96 and 402.08

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Solution

The fourth proportional to 564.08, 843.96 and 402.08 is: 601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.08 : 843.96 = 402.08 : x
  2. Step 2: Convert to fraction form
    564.08/843.96 = 402.08/x
  3. Step 3: Cross multiply
    564.08x = 843.96 × 402.08
  4. Step 4: Simplify right side
    564.08x = 339,339.44
  5. Step 5: Solve for x
    x = 339,339.44/564.08
  6. Step 6: Final answer
    x = 601.58

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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.