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Finding the Fourth Proportional to 633.84, 874.32 and 371.68

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Solution

The fourth proportional to 633.84, 874.32 and 371.68 is: 512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.84 : 874.32 = 371.68 : x
  2. Step 2: Convert to fraction form
    633.84/874.32 = 371.68/x
  3. Step 3: Cross multiply
    633.84x = 874.32 × 371.68
  4. Step 4: Simplify right side
    633.84x = 324,967.26
  5. Step 5: Solve for x
    x = 324,967.26/633.84
  6. Step 6: Final answer
    x = 512.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.