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Finding the Fourth Proportional to 1,171.23, 1,757.18 and 440.86

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Solution

The fourth proportional to 1,171.23, 1,757.18 and 440.86 is: 661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.23 : 1,757.18 = 440.86 : x
  2. Step 2: Convert to fraction form
    1,171.23/1,757.18 = 440.86/x
  3. Step 3: Cross multiply
    1,171.23x = 1,757.18 × 440.86
  4. Step 4: Simplify right side
    1,171.23x = 774,670.38
  5. Step 5: Solve for x
    x = 774,670.38/1,171.23
  6. Step 6: Final answer
    x = 661.42

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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.