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Finding the Fourth Proportional to 722.42, 998.17 and 643.04

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Solution

The fourth proportional to 722.42, 998.17 and 643.04 is: 888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.42 : 998.17 = 643.04 : x
  2. Step 2: Convert to fraction form
    722.42/998.17 = 643.04/x
  3. Step 3: Cross multiply
    722.42x = 998.17 × 643.04
  4. Step 4: Simplify right side
    722.42x = 641,864.00
  5. Step 5: Solve for x
    x = 641,864.00/722.42
  6. Step 6: Final answer
    x = 888.49

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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.