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Finding the Fourth Proportional to 698.55, 1,047.81 and 178.57

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Solution

The fourth proportional to 698.55, 1,047.81 and 178.57 is: 267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.55 : 1,047.81 = 178.57 : x
  2. Step 2: Convert to fraction form
    698.55/1,047.81 = 178.57/x
  3. Step 3: Cross multiply
    698.55x = 1,047.81 × 178.57
  4. Step 4: Simplify right side
    698.55x = 187,107.43
  5. Step 5: Solve for x
    x = 187,107.43/698.55
  6. Step 6: Final answer
    x = 267.85

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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.