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Finding the Fourth Proportional to 697.83, 963.31 and 461.90

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Solution

The fourth proportional to 697.83, 963.31 and 461.90 is: 637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.83 : 963.31 = 461.90 : x
  2. Step 2: Convert to fraction form
    697.83/963.31 = 461.90/x
  3. Step 3: Cross multiply
    697.83x = 963.31 × 461.90
  4. Step 4: Simplify right side
    697.83x = 444,946.92
  5. Step 5: Solve for x
    x = 444,946.92/697.83
  6. Step 6: Final answer
    x = 637.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.