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Finding the Fourth Proportional to 648.49, 968.33 and 533.17

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Solution

The fourth proportional to 648.49, 968.33 and 533.17 is: 796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.49 : 968.33 = 533.17 : x
  2. Step 2: Convert to fraction form
    648.49/968.33 = 533.17/x
  3. Step 3: Cross multiply
    648.49x = 968.33 × 533.17
  4. Step 4: Simplify right side
    648.49x = 516,284.51
  5. Step 5: Solve for x
    x = 516,284.51/648.49
  6. Step 6: Final answer
    x = 796.13

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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.