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Finding the Fourth Proportional to 634.56, 955.08 and 564

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Solution

The fourth proportional to 634.56, 955.08 and 564 is: 848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.56 : 955.08 = 564 : x
  2. Step 2: Convert to fraction form
    634.56/955.08 = 564/x
  3. Step 3: Cross multiply
    634.56x = 955.08 × 564
  4. Step 4: Simplify right side
    634.56x = 538,665.12
  5. Step 5: Solve for x
    x = 538,665.12/634.56
  6. Step 6: Final answer
    x = 848.88

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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.