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Finding the Fourth Proportional to 657, 985.43 and 194.78

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Solution

The fourth proportional to 657, 985.43 and 194.78 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    657 : 985.43 = 194.78 : x
  2. Step 2: Convert to fraction form
    657/985.43 = 194.78/x
  3. Step 3: Cross multiply
    657x = 985.43 × 194.78
  4. Step 4: Simplify right side
    657x = 191,942.06
  5. Step 5: Solve for x
    x = 191,942.06/657
  6. Step 6: Final answer
    x = 292.15

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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.