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Finding the Fourth Proportional to 697.82, 1,047 and 210.92

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Solution

The fourth proportional to 697.82, 1,047 and 210.92 is: 316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.82 : 1,047 = 210.92 : x
  2. Step 2: Convert to fraction form
    697.82/1,047 = 210.92/x
  3. Step 3: Cross multiply
    697.82x = 1,047 × 210.92
  4. Step 4: Simplify right side
    697.82x = 220,833.24
  5. Step 5: Solve for x
    x = 220,833.24/697.82
  6. Step 6: Final answer
    x = 316.46

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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.