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Finding the Fourth Proportional to 698.37, 963.55 and 499.26

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Solution

The fourth proportional to 698.37, 963.55 and 499.26 is: 688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.37 : 963.55 = 499.26 : x
  2. Step 2: Convert to fraction form
    698.37/963.55 = 499.26/x
  3. Step 3: Cross multiply
    698.37x = 963.55 × 499.26
  4. Step 4: Simplify right side
    698.37x = 481,063.40
  5. Step 5: Solve for x
    x = 481,063.40/698.37
  6. Step 6: Final answer
    x = 688.84

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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.