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Finding the Fourth Proportional to 698.43, 963.73 and 477.91

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Solution

The fourth proportional to 698.43, 963.73 and 477.91 is: 659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.43 : 963.73 = 477.91 : x
  2. Step 2: Convert to fraction form
    698.43/963.73 = 477.91/x
  3. Step 3: Cross multiply
    698.43x = 963.73 × 477.91
  4. Step 4: Simplify right side
    698.43x = 460,576.20
  5. Step 5: Solve for x
    x = 460,576.20/698.43
  6. Step 6: Final answer
    x = 659.45

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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.