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Finding the Fourth Proportional to 697.66, 1,046.34 and 210.60

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Solution

The fourth proportional to 697.66, 1,046.34 and 210.60 is: 315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.66 : 1,046.34 = 210.60 : x
  2. Step 2: Convert to fraction form
    697.66/1,046.34 = 210.60/x
  3. Step 3: Cross multiply
    697.66x = 1,046.34 × 210.60
  4. Step 4: Simplify right side
    697.66x = 220,359.20
  5. Step 5: Solve for x
    x = 220,359.20/697.66
  6. Step 6: Final answer
    x = 315.86

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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.