Home / 1,327.07-1,988.87-742.05

Finding the Fourth Proportional to 1,327.07, 1,988.87 and 742.05

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Solution

The fourth proportional to 1,327.07, 1,988.87 and 742.05 is: 1,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.07 : 1,988.87 = 742.05 : x
  2. Step 2: Convert to fraction form
    1,327.07/1,988.87 = 742.05/x
  3. Step 3: Cross multiply
    1,327.07x = 1,988.87 × 742.05
  4. Step 4: Simplify right side
    1,327.07x = 1,475,837.27
  5. Step 5: Solve for x
    x = 1,475,837.27/1,327.07
  6. Step 6: Final answer
    x = 1,112.10

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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.