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Finding the Fourth Proportional to 1,181.05, 1,771.20 and 430.47

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Solution

The fourth proportional to 1,181.05, 1,771.20 and 430.47 is: 645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.05 : 1,771.20 = 430.47 : x
  2. Step 2: Convert to fraction form
    1,181.05/1,771.20 = 430.47/x
  3. Step 3: Cross multiply
    1,181.05x = 1,771.20 × 430.47
  4. Step 4: Simplify right side
    1,181.05x = 762,439.61
  5. Step 5: Solve for x
    x = 762,439.61/1,181.05
  6. Step 6: Final answer
    x = 645.56

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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.