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Finding the Fourth Proportional to 2,302.67, 3,453.96 and 742.79

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Solution

The fourth proportional to 2,302.67, 3,453.96 and 742.79 is: 1,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.67 : 3,453.96 = 742.79 : x
  2. Step 2: Convert to fraction form
    2,302.67/3,453.96 = 742.79/x
  3. Step 3: Cross multiply
    2,302.67x = 3,453.96 × 742.79
  4. Step 4: Simplify right side
    2,302.67x = 2,565,566.95
  5. Step 5: Solve for x
    x = 2,565,566.95/2,302.67
  6. Step 6: Final answer
    x = 1,114.17

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1.5x scale

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.