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Finding the Fourth Proportional to 633.09, 873.21 and 397.02

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Solution

The fourth proportional to 633.09, 873.21 and 397.02 is: 547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.09 : 873.21 = 397.02 : x
  2. Step 2: Convert to fraction form
    633.09/873.21 = 397.02/x
  3. Step 3: Cross multiply
    633.09x = 873.21 × 397.02
  4. Step 4: Simplify right side
    633.09x = 346,680.18
  5. Step 5: Solve for x
    x = 346,680.18/633.09
  6. Step 6: Final answer
    x = 547.60

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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.