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Finding the Fourth Proportional to 1,202.21, 1,802.63 and 837.17

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Solution

The fourth proportional to 1,202.21, 1,802.63 and 837.17 is: 1,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.21 : 1,802.63 = 837.17 : x
  2. Step 2: Convert to fraction form
    1,202.21/1,802.63 = 837.17/x
  3. Step 3: Cross multiply
    1,202.21x = 1,802.63 × 837.17
  4. Step 4: Simplify right side
    1,202.21x = 1,509,094.56
  5. Step 5: Solve for x
    x = 1,509,094.56/1,202.21
  6. Step 6: Final answer
    x = 1,255.27

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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.