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Finding the Fourth Proportional to 639.36, 964.35 and 563.28

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Solution

The fourth proportional to 639.36, 964.35 and 563.28 is: 849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.36 : 964.35 = 563.28 : x
  2. Step 2: Convert to fraction form
    639.36/964.35 = 563.28/x
  3. Step 3: Cross multiply
    639.36x = 964.35 × 563.28
  4. Step 4: Simplify right side
    639.36x = 543,199.07
  5. Step 5: Solve for x
    x = 543,199.07/639.36
  6. Step 6: Final answer
    x = 849.60

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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.