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Finding the Fourth Proportional to 697.97, 1,047.08 and 210.98

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Solution

The fourth proportional to 697.97, 1,047.08 and 210.98 is: 316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.97 : 1,047.08 = 210.98 : x
  2. Step 2: Convert to fraction form
    697.97/1,047.08 = 210.98/x
  3. Step 3: Cross multiply
    697.97x = 1,047.08 × 210.98
  4. Step 4: Simplify right side
    697.97x = 220,911.88
  5. Step 5: Solve for x
    x = 220,911.88/697.97
  6. Step 6: Final answer
    x = 316.51

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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.