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Finding the Fourth Proportional to 698.85, 1,048.46 and 211.91

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Solution

The fourth proportional to 698.85, 1,048.46 and 211.91 is: 317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.85 : 1,048.46 = 211.91 : x
  2. Step 2: Convert to fraction form
    698.85/1,048.46 = 211.91/x
  3. Step 3: Cross multiply
    698.85x = 1,048.46 × 211.91
  4. Step 4: Simplify right side
    698.85x = 222,172.86
  5. Step 5: Solve for x
    x = 222,172.86/698.85
  6. Step 6: Final answer
    x = 317.91

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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.