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Finding the Fourth Proportional to 698.68, 964.38 and 466.48

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Solution

The fourth proportional to 698.68, 964.38 and 466.48 is: 643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.68 : 964.38 = 466.48 : x
  2. Step 2: Convert to fraction form
    698.68/964.38 = 466.48/x
  3. Step 3: Cross multiply
    698.68x = 964.38 × 466.48
  4. Step 4: Simplify right side
    698.68x = 449,863.98
  5. Step 5: Solve for x
    x = 449,863.98/698.68
  6. Step 6: Final answer
    x = 643.88

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Double scale
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1.5x scale

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.