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Finding the Fourth Proportional to 2,270.61, 3,405.20 and 731.25

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Solution

The fourth proportional to 2,270.61, 3,405.20 and 731.25 is: 1,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.61 : 3,405.20 = 731.25 : x
  2. Step 2: Convert to fraction form
    2,270.61/3,405.20 = 731.25/x
  3. Step 3: Cross multiply
    2,270.61x = 3,405.20 × 731.25
  4. Step 4: Simplify right side
    2,270.61x = 2,490,048.84
  5. Step 5: Solve for x
    x = 2,490,048.84/2,270.61
  6. Step 6: Final answer
    x = 1,096.64

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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.