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Finding the Fourth Proportional to 630.78, 946.04 and 197.84

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Solution

The fourth proportional to 630.78, 946.04 and 197.84 is: 296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.78 : 946.04 = 197.84 : x
  2. Step 2: Convert to fraction form
    630.78/946.04 = 197.84/x
  3. Step 3: Cross multiply
    630.78x = 946.04 × 197.84
  4. Step 4: Simplify right side
    630.78x = 187,158.83
  5. Step 5: Solve for x
    x = 187,158.83/630.78
  6. Step 6: Final answer
    x = 296.71

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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.