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Finding the Fourth Proportional to 1,434.75, 1,979.94 and 805.26

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Solution

The fourth proportional to 1,434.75, 1,979.94 and 805.26 is: 1,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.75 : 1,979.94 = 805.26 : x
  2. Step 2: Convert to fraction form
    1,434.75/1,979.94 = 805.26/x
  3. Step 3: Cross multiply
    1,434.75x = 1,979.94 × 805.26
  4. Step 4: Simplify right side
    1,434.75x = 1,594,366.78
  5. Step 5: Solve for x
    x = 1,594,366.78/1,434.75
  6. Step 6: Final answer
    x = 1,111.25

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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.