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Finding the Fourth Proportional to 787.92, 1,181.88 and 210.75

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Solution

The fourth proportional to 787.92, 1,181.88 and 210.75 is: 316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.92 : 1,181.88 = 210.75 : x
  2. Step 2: Convert to fraction form
    787.92/1,181.88 = 210.75/x
  3. Step 3: Cross multiply
    787.92x = 1,181.88 × 210.75
  4. Step 4: Simplify right side
    787.92x = 249,081.21
  5. Step 5: Solve for x
    x = 249,081.21/787.92
  6. Step 6: Final answer
    x = 316.13

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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.