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Finding the Fourth Proportional to 1,202.28, 1,803.42 and 432.78

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Solution

The fourth proportional to 1,202.28, 1,803.42 and 432.78 is: 649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.28 : 1,803.42 = 432.78 : x
  2. Step 2: Convert to fraction form
    1,202.28/1,803.42 = 432.78/x
  3. Step 3: Cross multiply
    1,202.28x = 1,803.42 × 432.78
  4. Step 4: Simplify right side
    1,202.28x = 780,487.44
  5. Step 5: Solve for x
    x = 780,487.44/1,202.28
  6. Step 6: Final answer
    x = 649.17

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Double scale
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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.