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Finding the Fourth Proportional to 1,294.30, 1,787.41 and 823.08

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Solution

The fourth proportional to 1,294.30, 1,787.41 and 823.08 is: 1,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.30 : 1,787.41 = 823.08 : x
  2. Step 2: Convert to fraction form
    1,294.30/1,787.41 = 823.08/x
  3. Step 3: Cross multiply
    1,294.30x = 1,787.41 × 823.08
  4. Step 4: Simplify right side
    1,294.30x = 1,471,181.42
  5. Step 5: Solve for x
    x = 1,471,181.42/1,294.30
  6. Step 6: Final answer
    x = 1,136.66

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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.