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Finding the Fourth Proportional to 698.31, 964.41 and 477.84

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Solution

The fourth proportional to 698.31, 964.41 and 477.84 is: 659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.31 : 964.41 = 477.84 : x
  2. Step 2: Convert to fraction form
    698.31/964.41 = 477.84/x
  3. Step 3: Cross multiply
    698.31x = 964.41 × 477.84
  4. Step 4: Simplify right side
    698.31x = 460,833.67
  5. Step 5: Solve for x
    x = 460,833.67/698.31
  6. Step 6: Final answer
    x = 659.93

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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.