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Finding the Fourth Proportional to 1,171.80, 1,757.70 and 306.05

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Solution

The fourth proportional to 1,171.80, 1,757.70 and 306.05 is: 459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.80 : 1,757.70 = 306.05 : x
  2. Step 2: Convert to fraction form
    1,171.80/1,757.70 = 306.05/x
  3. Step 3: Cross multiply
    1,171.80x = 1,757.70 × 306.05
  4. Step 4: Simplify right side
    1,171.80x = 537,935.30
  5. Step 5: Solve for x
    x = 537,935.30/1,171.80
  6. Step 6: Final answer
    x = 459.07

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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.