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Finding the Fourth Proportional to 871.02, 1,314.09 and 823.23

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Solution

The fourth proportional to 871.02, 1,314.09 and 823.23 is: 1,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.02 : 1,314.09 = 823.23 : x
  2. Step 2: Convert to fraction form
    871.02/1,314.09 = 823.23/x
  3. Step 3: Cross multiply
    871.02x = 1,314.09 × 823.23
  4. Step 4: Simplify right side
    871.02x = 1,081,798.31
  5. Step 5: Solve for x
    x = 1,081,798.31/871.02
  6. Step 6: Final answer
    x = 1,241.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.