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Finding the Fourth Proportional to 1,327.31, 1,990.94 and 807.45

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Solution

The fourth proportional to 1,327.31, 1,990.94 and 807.45 is: 1,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.31 : 1,990.94 = 807.45 : x
  2. Step 2: Convert to fraction form
    1,327.31/1,990.94 = 807.45/x
  3. Step 3: Cross multiply
    1,327.31x = 1,990.94 × 807.45
  4. Step 4: Simplify right side
    1,327.31x = 1,607,584.50
  5. Step 5: Solve for x
    x = 1,607,584.50/1,327.31
  6. Step 6: Final answer
    x = 1,211.16

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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.