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Finding the Fourth Proportional to 1,114.88, 1,672.34 and 293.22

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Solution

The fourth proportional to 1,114.88, 1,672.34 and 293.22 is: 439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.88 : 1,672.34 = 293.22 : x
  2. Step 2: Convert to fraction form
    1,114.88/1,672.34 = 293.22/x
  3. Step 3: Cross multiply
    1,114.88x = 1,672.34 × 293.22
  4. Step 4: Simplify right side
    1,114.88x = 490,362.07
  5. Step 5: Solve for x
    x = 490,362.07/1,114.88
  6. Step 6: Final answer
    x = 439.84

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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.