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Finding the Fourth Proportional to 2,690.53, 4,035.31 and 742.25

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Solution

The fourth proportional to 2,690.53, 4,035.31 and 742.25 is: 1,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.53 : 4,035.31 = 742.25 : x
  2. Step 2: Convert to fraction form
    2,690.53/4,035.31 = 742.25/x
  3. Step 3: Cross multiply
    2,690.53x = 4,035.31 × 742.25
  4. Step 4: Simplify right side
    2,690.53x = 2,995,208.85
  5. Step 5: Solve for x
    x = 2,995,208.85/2,690.53
  6. Step 6: Final answer
    x = 1,113.24

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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.