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Finding the Fourth Proportional to 633.23, 947.31 and 547.49

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Solution

The fourth proportional to 633.23, 947.31 and 547.49 is: 819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.23 : 947.31 = 547.49 : x
  2. Step 2: Convert to fraction form
    633.23/947.31 = 547.49/x
  3. Step 3: Cross multiply
    633.23x = 947.31 × 547.49
  4. Step 4: Simplify right side
    633.23x = 518,646.15
  5. Step 5: Solve for x
    x = 518,646.15/633.23
  6. Step 6: Final answer
    x = 819.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.