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Finding the Fourth Proportional to 630.46, 946.20 and 305.83

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Solution

The fourth proportional to 630.46, 946.20 and 305.83 is: 458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.46 : 946.20 = 305.83 : x
  2. Step 2: Convert to fraction form
    630.46/946.20 = 305.83/x
  3. Step 3: Cross multiply
    630.46x = 946.20 × 305.83
  4. Step 4: Simplify right side
    630.46x = 289,371.62
  5. Step 5: Solve for x
    x = 289,371.62/630.46
  6. Step 6: Final answer
    x = 458.98

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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.