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Finding the Fourth Proportional to 1,333.32, 1,840.31 and 809.25

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Solution

The fourth proportional to 1,333.32, 1,840.31 and 809.25 is: 1,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.32 : 1,840.31 = 809.25 : x
  2. Step 2: Convert to fraction form
    1,333.32/1,840.31 = 809.25/x
  3. Step 3: Cross multiply
    1,333.32x = 1,840.31 × 809.25
  4. Step 4: Simplify right side
    1,333.32x = 1,489,266.82
  5. Step 5: Solve for x
    x = 1,489,266.82/1,333.32
  6. Step 6: Final answer
    x = 1,116.96

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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.