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Finding the Fourth Proportional to 698.94, 963.09 and 533.16

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Solution

The fourth proportional to 698.94, 963.09 and 533.16 is: 734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.94 : 963.09 = 533.16 : x
  2. Step 2: Convert to fraction form
    698.94/963.09 = 533.16/x
  3. Step 3: Cross multiply
    698.94x = 963.09 × 533.16
  4. Step 4: Simplify right side
    698.94x = 513,481.06
  5. Step 5: Solve for x
    x = 513,481.06/698.94
  6. Step 6: Final answer
    x = 734.66

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Double scale
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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.