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Finding the Fourth Proportional to 698.72, 1,048.10 and 211.77

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Solution

The fourth proportional to 698.72, 1,048.10 and 211.77 is: 317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.72 : 1,048.10 = 211.77 : x
  2. Step 2: Convert to fraction form
    698.72/1,048.10 = 211.77/x
  3. Step 3: Cross multiply
    698.72x = 1,048.10 × 211.77
  4. Step 4: Simplify right side
    698.72x = 221,955.08
  5. Step 5: Solve for x
    x = 221,955.08/698.72
  6. Step 6: Final answer
    x = 317.66

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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.