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Finding the Fourth Proportional to 742.04, 1,113 and 331.20

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Solution

The fourth proportional to 742.04, 1,113 and 331.20 is: 496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.04 : 1,113 = 331.20 : x
  2. Step 2: Convert to fraction form
    742.04/1,113 = 331.20/x
  3. Step 3: Cross multiply
    742.04x = 1,113 × 331.20
  4. Step 4: Simplify right side
    742.04x = 368,625.60
  5. Step 5: Solve for x
    x = 368,625.60/742.04
  6. Step 6: Final answer
    x = 496.77

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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.