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Finding the Fourth Proportional to 633.61, 945.83 and 547.49

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Solution

The fourth proportional to 633.61, 945.83 and 547.49 is: 817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.61 : 945.83 = 547.49 : x
  2. Step 2: Convert to fraction form
    633.61/945.83 = 547.49/x
  3. Step 3: Cross multiply
    633.61x = 945.83 × 547.49
  4. Step 4: Simplify right side
    633.61x = 517,836.20
  5. Step 5: Solve for x
    x = 517,836.20/633.61
  6. Step 6: Final answer
    x = 817.28

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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.