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Finding the Fourth Proportional to 722.53, 996.57 and 698.42

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Solution

The fourth proportional to 722.53, 996.57 and 698.42 is: 963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.53 : 996.57 = 698.42 : x
  2. Step 2: Convert to fraction form
    722.53/996.57 = 698.42/x
  3. Step 3: Cross multiply
    722.53x = 996.57 × 698.42
  4. Step 4: Simplify right side
    722.53x = 696,017.66
  5. Step 5: Solve for x
    x = 696,017.66/722.53
  6. Step 6: Final answer
    x = 963.31

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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.