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Finding the Fourth Proportional to 698.21, 963.17 and 477.17

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Solution

The fourth proportional to 698.21, 963.17 and 477.17 is: 658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.21 : 963.17 = 477.17 : x
  2. Step 2: Convert to fraction form
    698.21/963.17 = 477.17/x
  3. Step 3: Cross multiply
    698.21x = 963.17 × 477.17
  4. Step 4: Simplify right side
    698.21x = 459,591.01
  5. Step 5: Solve for x
    x = 459,591.01/698.21
  6. Step 6: Final answer
    x = 658.25

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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.