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Finding the Fourth Proportional to 657.84, 901.22 and 633.18

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Solution

The fourth proportional to 657.84, 901.22 and 633.18 is: 867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.84 : 901.22 = 633.18 : x
  2. Step 2: Convert to fraction form
    657.84/901.22 = 633.18/x
  3. Step 3: Cross multiply
    657.84x = 901.22 × 633.18
  4. Step 4: Simplify right side
    657.84x = 570,634.48
  5. Step 5: Solve for x
    x = 570,634.48/657.84
  6. Step 6: Final answer
    x = 867.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.