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Finding the Fourth Proportional to 1,202.15, 1,802.22 and 509.36

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Solution

The fourth proportional to 1,202.15, 1,802.22 and 509.36 is: 763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.15 : 1,802.22 = 509.36 : x
  2. Step 2: Convert to fraction form
    1,202.15/1,802.22 = 509.36/x
  3. Step 3: Cross multiply
    1,202.15x = 1,802.22 × 509.36
  4. Step 4: Simplify right side
    1,202.15x = 917,969.77
  5. Step 5: Solve for x
    x = 917,969.77/1,202.15
  6. Step 6: Final answer
    x = 763.61

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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.