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Finding the Fourth Proportional to 1,202.80, 1,802.34 and 811.27

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Solution

The fourth proportional to 1,202.80, 1,802.34 and 811.27 is: 1,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.80 : 1,802.34 = 811.27 : x
  2. Step 2: Convert to fraction form
    1,202.80/1,802.34 = 811.27/x
  3. Step 3: Cross multiply
    1,202.80x = 1,802.34 × 811.27
  4. Step 4: Simplify right side
    1,202.80x = 1,462,181.89
  5. Step 5: Solve for x
    x = 1,462,181.89/1,202.80
  6. Step 6: Final answer
    x = 1,215.65

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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.