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Finding the Fourth Proportional to 633.19, 874.11 and 523.30

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Solution

The fourth proportional to 633.19, 874.11 and 523.30 is: 722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.19 : 874.11 = 523.30 : x
  2. Step 2: Convert to fraction form
    633.19/874.11 = 523.30/x
  3. Step 3: Cross multiply
    633.19x = 874.11 × 523.30
  4. Step 4: Simplify right side
    633.19x = 457,421.76
  5. Step 5: Solve for x
    x = 457,421.76/633.19
  6. Step 6: Final answer
    x = 722.41

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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.