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Finding the Fourth Proportional to 650.64, 896.88 and 636.80

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Solution

The fourth proportional to 650.64, 896.88 and 636.80 is: 877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.64 : 896.88 = 636.80 : x
  2. Step 2: Convert to fraction form
    650.64/896.88 = 636.80/x
  3. Step 3: Cross multiply
    650.64x = 896.88 × 636.80
  4. Step 4: Simplify right side
    650.64x = 571,133.18
  5. Step 5: Solve for x
    x = 571,133.18/650.64
  6. Step 6: Final answer
    x = 877.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.