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Finding the Fourth Proportional to 698.71, 1,048.07 and 211.76

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Solution

The fourth proportional to 698.71, 1,048.07 and 211.76 is: 317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.71 : 1,048.07 = 211.76 : x
  2. Step 2: Convert to fraction form
    698.71/1,048.07 = 211.76/x
  3. Step 3: Cross multiply
    698.71x = 1,048.07 × 211.76
  4. Step 4: Simplify right side
    698.71x = 221,939.30
  5. Step 5: Solve for x
    x = 221,939.30/698.71
  6. Step 6: Final answer
    x = 317.64

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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.