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Finding the Fourth Proportional to 697.73, 1,046.72 and 307.73

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Solution

The fourth proportional to 697.73, 1,046.72 and 307.73 is: 461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.73 : 1,046.72 = 307.73 : x
  2. Step 2: Convert to fraction form
    697.73/1,046.72 = 307.73/x
  3. Step 3: Cross multiply
    697.73x = 1,046.72 × 307.73
  4. Step 4: Simplify right side
    697.73x = 322,100.37
  5. Step 5: Solve for x
    x = 322,100.37/697.73
  6. Step 6: Final answer
    x = 461.64

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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.