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Finding the Fourth Proportional to 926.01, 1,387.43 and 809.17

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Solution

The fourth proportional to 926.01, 1,387.43 and 809.17 is: 1,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.01 : 1,387.43 = 809.17 : x
  2. Step 2: Convert to fraction form
    926.01/1,387.43 = 809.17/x
  3. Step 3: Cross multiply
    926.01x = 1,387.43 × 809.17
  4. Step 4: Simplify right side
    926.01x = 1,122,659.80
  5. Step 5: Solve for x
    x = 1,122,659.80/926.01
  6. Step 6: Final answer
    x = 1,212.37

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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.