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Finding the Fourth Proportional to 1,305.65, 1,802.49 and 888.23

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Solution

The fourth proportional to 1,305.65, 1,802.49 and 888.23 is: 1,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.65 : 1,802.49 = 888.23 : x
  2. Step 2: Convert to fraction form
    1,305.65/1,802.49 = 888.23/x
  3. Step 3: Cross multiply
    1,305.65x = 1,802.49 × 888.23
  4. Step 4: Simplify right side
    1,305.65x = 1,601,025.69
  5. Step 5: Solve for x
    x = 1,601,025.69/1,305.65
  6. Step 6: Final answer
    x = 1,226.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.