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Finding the Fourth Proportional to 787.94, 1,181.92 and 740.42

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Solution

The fourth proportional to 787.94, 1,181.92 and 740.42 is: 1,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.94 : 1,181.92 = 740.42 : x
  2. Step 2: Convert to fraction form
    787.94/1,181.92 = 740.42/x
  3. Step 3: Cross multiply
    787.94x = 1,181.92 × 740.42
  4. Step 4: Simplify right side
    787.94x = 875,117.21
  5. Step 5: Solve for x
    x = 875,117.21/787.94
  6. Step 6: Final answer
    x = 1,110.64

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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.