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Finding the Fourth Proportional to 648.06, 898.10 and 635.75

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Solution

The fourth proportional to 648.06, 898.10 and 635.75 is: 881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.06 : 898.10 = 635.75 : x
  2. Step 2: Convert to fraction form
    648.06/898.10 = 635.75/x
  3. Step 3: Cross multiply
    648.06x = 898.10 × 635.75
  4. Step 4: Simplify right side
    648.06x = 570,959.41
  5. Step 5: Solve for x
    x = 570,959.41/648.06
  6. Step 6: Final answer
    x = 881.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.