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Finding the Fourth Proportional to 1,434.65, 1,979.69 and 805.09

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Solution

The fourth proportional to 1,434.65, 1,979.69 and 805.09 is: 1,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.65 : 1,979.69 = 805.09 : x
  2. Step 2: Convert to fraction form
    1,434.65/1,979.69 = 805.09/x
  3. Step 3: Cross multiply
    1,434.65x = 1,979.69 × 805.09
  4. Step 4: Simplify right side
    1,434.65x = 1,593,828.62
  5. Step 5: Solve for x
    x = 1,593,828.62/1,434.65
  6. Step 6: Final answer
    x = 1,110.96

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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.