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Finding the Fourth Proportional to 633.08, 874.18 and 446.99

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Solution

The fourth proportional to 633.08, 874.18 and 446.99 is: 617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.08 : 874.18 = 446.99 : x
  2. Step 2: Convert to fraction form
    633.08/874.18 = 446.99/x
  3. Step 3: Cross multiply
    633.08x = 874.18 × 446.99
  4. Step 4: Simplify right side
    633.08x = 390,745.91
  5. Step 5: Solve for x
    x = 390,745.91/633.08
  6. Step 6: Final answer
    x = 617.21

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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.