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Finding the Fourth Proportional to 566.21, 847.25 and 335.20

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Solution

The fourth proportional to 566.21, 847.25 and 335.20 is: 501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.21 : 847.25 = 335.20 : x
  2. Step 2: Convert to fraction form
    566.21/847.25 = 335.20/x
  3. Step 3: Cross multiply
    566.21x = 847.25 × 335.20
  4. Step 4: Simplify right side
    566.21x = 283,998.20
  5. Step 5: Solve for x
    x = 283,998.20/566.21
  6. Step 6: Final answer
    x = 501.58

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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.