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Finding the Fourth Proportional to 633.14, 874.05 and 427.22

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Solution

The fourth proportional to 633.14, 874.05 and 427.22 is: 589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.14 : 874.05 = 427.22 : x
  2. Step 2: Convert to fraction form
    633.14/874.05 = 427.22/x
  3. Step 3: Cross multiply
    633.14x = 874.05 × 427.22
  4. Step 4: Simplify right side
    633.14x = 373,411.64
  5. Step 5: Solve for x
    x = 373,411.64/633.14
  6. Step 6: Final answer
    x = 589.78

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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.