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Finding the Fourth Proportional to 633.24, 946.20 and 484.17

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Solution

The fourth proportional to 633.24, 946.20 and 484.17 is: 723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.24 : 946.20 = 484.17 : x
  2. Step 2: Convert to fraction form
    633.24/946.20 = 484.17/x
  3. Step 3: Cross multiply
    633.24x = 946.20 × 484.17
  4. Step 4: Simplify right side
    633.24x = 458,121.65
  5. Step 5: Solve for x
    x = 458,121.65/633.24
  6. Step 6: Final answer
    x = 723.46

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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.