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Finding the Fourth Proportional to 1,056.82, 1,585.26 and 816.28

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Solution

The fourth proportional to 1,056.82, 1,585.26 and 816.28 is: 1,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.82 : 1,585.26 = 816.28 : x
  2. Step 2: Convert to fraction form
    1,056.82/1,585.26 = 816.28/x
  3. Step 3: Cross multiply
    1,056.82x = 1,585.26 × 816.28
  4. Step 4: Simplify right side
    1,056.82x = 1,294,016.03
  5. Step 5: Solve for x
    x = 1,294,016.03/1,056.82
  6. Step 6: Final answer
    x = 1,224.44

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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.