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Finding the Fourth Proportional to 656.38, 985.01 and 271.63

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Solution

The fourth proportional to 656.38, 985.01 and 271.63 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.38 : 985.01 = 271.63 : x
  2. Step 2: Convert to fraction form
    656.38/985.01 = 271.63/x
  3. Step 3: Cross multiply
    656.38x = 985.01 × 271.63
  4. Step 4: Simplify right side
    656.38x = 267,558.27
  5. Step 5: Solve for x
    x = 267,558.27/656.38
  6. Step 6: Final answer
    x = 407.63

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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.