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Finding the Fourth Proportional to 1,077.21, 1,615.82 and 383.90

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Solution

The fourth proportional to 1,077.21, 1,615.82 and 383.90 is: 575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.21 : 1,615.82 = 383.90 : x
  2. Step 2: Convert to fraction form
    1,077.21/1,615.82 = 383.90/x
  3. Step 3: Cross multiply
    1,077.21x = 1,615.82 × 383.90
  4. Step 4: Simplify right side
    1,077.21x = 620,318.73
  5. Step 5: Solve for x
    x = 620,318.73/1,077.21
  6. Step 6: Final answer
    x = 575.86

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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.