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Finding the Fourth Proportional to 1,072.68, 1,606.77 and 742.74

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Solution

The fourth proportional to 1,072.68, 1,606.77 and 742.74 is: 1,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.68 : 1,606.77 = 742.74 : x
  2. Step 2: Convert to fraction form
    1,072.68/1,606.77 = 742.74/x
  3. Step 3: Cross multiply
    1,072.68x = 1,606.77 × 742.74
  4. Step 4: Simplify right side
    1,072.68x = 1,193,412.35
  5. Step 5: Solve for x
    x = 1,193,412.35/1,072.68
  6. Step 6: Final answer
    x = 1,112.55

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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.