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Finding the Fourth Proportional to 633.46, 949.95 and 304.19

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Solution

The fourth proportional to 633.46, 949.95 and 304.19 is: 456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.46 : 949.95 = 304.19 : x
  2. Step 2: Convert to fraction form
    633.46/949.95 = 304.19/x
  3. Step 3: Cross multiply
    633.46x = 949.95 × 304.19
  4. Step 4: Simplify right side
    633.46x = 288,966.77
  5. Step 5: Solve for x
    x = 288,966.77/633.46
  6. Step 6: Final answer
    x = 456.17

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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.