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Finding the Fourth Proportional to 564.20, 847.10 and 442.60

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Solution

The fourth proportional to 564.20, 847.10 and 442.60 is: 664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.20 : 847.10 = 442.60 : x
  2. Step 2: Convert to fraction form
    564.20/847.10 = 442.60/x
  3. Step 3: Cross multiply
    564.20x = 847.10 × 442.60
  4. Step 4: Simplify right side
    564.20x = 374,926.46
  5. Step 5: Solve for x
    x = 374,926.46/564.20
  6. Step 6: Final answer
    x = 664.53

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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.