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Finding the Fourth Proportional to 633.46, 945.60 and 547.34

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Solution

The fourth proportional to 633.46, 945.60 and 547.34 is: 817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.46 : 945.60 = 547.34 : x
  2. Step 2: Convert to fraction form
    633.46/945.60 = 547.34/x
  3. Step 3: Cross multiply
    633.46x = 945.60 × 547.34
  4. Step 4: Simplify right side
    633.46x = 517,561.97
  5. Step 5: Solve for x
    x = 517,561.97/633.46
  6. Step 6: Final answer
    x = 817.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.