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Finding the Fourth Proportional to 633.80, 946.11 and 547.69

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Solution

The fourth proportional to 633.80, 946.11 and 547.69 is: 817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 946.11 = 547.69 : x
  2. Step 2: Convert to fraction form
    633.80/946.11 = 547.69/x
  3. Step 3: Cross multiply
    633.80x = 946.11 × 547.69
  4. Step 4: Simplify right side
    633.80x = 518,170.26
  5. Step 5: Solve for x
    x = 518,170.26/633.80
  6. Step 6: Final answer
    x = 817.56

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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.