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Finding the Fourth Proportional to 742.04, 1,112.84 and 279.48

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Solution

The fourth proportional to 742.04, 1,112.84 and 279.48 is: 419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.04 : 1,112.84 = 279.48 : x
  2. Step 2: Convert to fraction form
    742.04/1,112.84 = 279.48/x
  3. Step 3: Cross multiply
    742.04x = 1,112.84 × 279.48
  4. Step 4: Simplify right side
    742.04x = 311,015.13
  5. Step 5: Solve for x
    x = 311,015.13/742.04
  6. Step 6: Final answer
    x = 419.14

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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.