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Finding the Fourth Proportional to 1,202.11, 1,802.77 and 461.68

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Solution

The fourth proportional to 1,202.11, 1,802.77 and 461.68 is: 692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.11 : 1,802.77 = 461.68 : x
  2. Step 2: Convert to fraction form
    1,202.11/1,802.77 = 461.68/x
  3. Step 3: Cross multiply
    1,202.11x = 1,802.77 × 461.68
  4. Step 4: Simplify right side
    1,202.11x = 832,302.85
  5. Step 5: Solve for x
    x = 832,302.85/1,202.11
  6. Step 6: Final answer
    x = 692.37

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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.