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Finding the Fourth Proportional to 633.24, 873.90 and 397.14

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Solution

The fourth proportional to 633.24, 873.90 and 397.14 is: 548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.24 : 873.90 = 397.14 : x
  2. Step 2: Convert to fraction form
    633.24/873.90 = 397.14/x
  3. Step 3: Cross multiply
    633.24x = 873.90 × 397.14
  4. Step 4: Simplify right side
    633.24x = 347,060.65
  5. Step 5: Solve for x
    x = 347,060.65/633.24
  6. Step 6: Final answer
    x = 548.07

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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.