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Finding the Fourth Proportional to 1,327.04, 1,990.56 and 840.24

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Solution

The fourth proportional to 1,327.04, 1,990.56 and 840.24 is: 1,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.04 : 1,990.56 = 840.24 : x
  2. Step 2: Convert to fraction form
    1,327.04/1,990.56 = 840.24/x
  3. Step 3: Cross multiply
    1,327.04x = 1,990.56 × 840.24
  4. Step 4: Simplify right side
    1,327.04x = 1,672,548.13
  5. Step 5: Solve for x
    x = 1,672,548.13/1,327.04
  6. Step 6: Final answer
    x = 1,260.36

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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.