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Finding the Fourth Proportional to 1,202.19, 1,803.15 and 422.13

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Solution

The fourth proportional to 1,202.19, 1,803.15 and 422.13 is: 633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.19 : 1,803.15 = 422.13 : x
  2. Step 2: Convert to fraction form
    1,202.19/1,803.15 = 422.13/x
  3. Step 3: Cross multiply
    1,202.19x = 1,803.15 × 422.13
  4. Step 4: Simplify right side
    1,202.19x = 761,163.71
  5. Step 5: Solve for x
    x = 761,163.71/1,202.19
  6. Step 6: Final answer
    x = 633.15

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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.