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Finding the Fourth Proportional to 648.11, 968.06 and 465.41

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Solution

The fourth proportional to 648.11, 968.06 and 465.41 is: 695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.11 : 968.06 = 465.41 : x
  2. Step 2: Convert to fraction form
    648.11/968.06 = 465.41/x
  3. Step 3: Cross multiply
    648.11x = 968.06 × 465.41
  4. Step 4: Simplify right side
    648.11x = 450,548.39
  5. Step 5: Solve for x
    x = 450,548.39/648.11
  6. Step 6: Final answer
    x = 695.17

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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.