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Finding the Fourth Proportional to 564.40, 850.52 and 484.28

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Solution

The fourth proportional to 564.40, 850.52 and 484.28 is: 729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.40 : 850.52 = 484.28 : x
  2. Step 2: Convert to fraction form
    564.40/850.52 = 484.28/x
  3. Step 3: Cross multiply
    564.40x = 850.52 × 484.28
  4. Step 4: Simplify right side
    564.40x = 411,889.83
  5. Step 5: Solve for x
    x = 411,889.83/564.40
  6. Step 6: Final answer
    x = 729.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.