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Finding the Fourth Proportional to 1,331.52, 1,996.56 and 465.36

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Solution

The fourth proportional to 1,331.52, 1,996.56 and 465.36 is: 697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.52 : 1,996.56 = 465.36 : x
  2. Step 2: Convert to fraction form
    1,331.52/1,996.56 = 465.36/x
  3. Step 3: Cross multiply
    1,331.52x = 1,996.56 × 465.36
  4. Step 4: Simplify right side
    1,331.52x = 929,119.16
  5. Step 5: Solve for x
    x = 929,119.16/1,331.52
  6. Step 6: Final answer
    x = 697.79

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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.