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Finding the Fourth Proportional to 1,077.40, 1,615.14 and 427.96

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Solution

The fourth proportional to 1,077.40, 1,615.14 and 427.96 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.40 : 1,615.14 = 427.96 : x
  2. Step 2: Convert to fraction form
    1,077.40/1,615.14 = 427.96/x
  3. Step 3: Cross multiply
    1,077.40x = 1,615.14 × 427.96
  4. Step 4: Simplify right side
    1,077.40x = 691,215.31
  5. Step 5: Solve for x
    x = 691,215.31/1,077.40
  6. Step 6: Final answer
    x = 641.56

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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.