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Finding the Fourth Proportional to 787.79, 1,182.06 and 325.69

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Solution

The fourth proportional to 787.79, 1,182.06 and 325.69 is: 488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.79 : 1,182.06 = 325.69 : x
  2. Step 2: Convert to fraction form
    787.79/1,182.06 = 325.69/x
  3. Step 3: Cross multiply
    787.79x = 1,182.06 × 325.69
  4. Step 4: Simplify right side
    787.79x = 384,982.17
  5. Step 5: Solve for x
    x = 384,982.17/787.79
  6. Step 6: Final answer
    x = 488.68

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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.