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Finding the Fourth Proportional to 697.50, 1,046.36 and 210.54

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Solution

The fourth proportional to 697.50, 1,046.36 and 210.54 is: 315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.50 : 1,046.36 = 210.54 : x
  2. Step 2: Convert to fraction form
    697.50/1,046.36 = 210.54/x
  3. Step 3: Cross multiply
    697.50x = 1,046.36 × 210.54
  4. Step 4: Simplify right side
    697.50x = 220,299.58
  5. Step 5: Solve for x
    x = 220,299.58/697.50
  6. Step 6: Final answer
    x = 315.84

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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.