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Finding the Fourth Proportional to 1,171.75, 1,757.66 and 306.07

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Solution

The fourth proportional to 1,171.75, 1,757.66 and 306.07 is: 459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.75 : 1,757.66 = 306.07 : x
  2. Step 2: Convert to fraction form
    1,171.75/1,757.66 = 306.07/x
  3. Step 3: Cross multiply
    1,171.75x = 1,757.66 × 306.07
  4. Step 4: Simplify right side
    1,171.75x = 537,967.00
  5. Step 5: Solve for x
    x = 537,967.00/1,171.75
  6. Step 6: Final answer
    x = 459.11

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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.