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Finding the Fourth Proportional to 564.02, 845.29 and 418.38

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Solution

The fourth proportional to 564.02, 845.29 and 418.38 is: 627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.02 : 845.29 = 418.38 : x
  2. Step 2: Convert to fraction form
    564.02/845.29 = 418.38/x
  3. Step 3: Cross multiply
    564.02x = 845.29 × 418.38
  4. Step 4: Simplify right side
    564.02x = 353,652.43
  5. Step 5: Solve for x
    x = 353,652.43/564.02
  6. Step 6: Final answer
    x = 627.02

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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.