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Finding the Fourth Proportional to 648.81, 968.66 and 493.90

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Solution

The fourth proportional to 648.81, 968.66 and 493.90 is: 737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.81 : 968.66 = 493.90 : x
  2. Step 2: Convert to fraction form
    648.81/968.66 = 493.90/x
  3. Step 3: Cross multiply
    648.81x = 968.66 × 493.90
  4. Step 4: Simplify right side
    648.81x = 478,418.13
  5. Step 5: Solve for x
    x = 478,418.13/648.81
  6. Step 6: Final answer
    x = 737.38

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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.