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Finding the Fourth Proportional to 648.22, 965.03 and 639.10

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Solution

The fourth proportional to 648.22, 965.03 and 639.10 is: 951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.22 : 965.03 = 639.10 : x
  2. Step 2: Convert to fraction form
    648.22/965.03 = 639.10/x
  3. Step 3: Cross multiply
    648.22x = 965.03 × 639.10
  4. Step 4: Simplify right side
    648.22x = 616,750.67
  5. Step 5: Solve for x
    x = 616,750.67/648.22
  6. Step 6: Final answer
    x = 951.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.