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Finding the Fourth Proportional to 722.72, 996.84 and 428

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Solution

The fourth proportional to 722.72, 996.84 and 428 is: 590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.72 : 996.84 = 428 : x
  2. Step 2: Convert to fraction form
    722.72/996.84 = 428/x
  3. Step 3: Cross multiply
    722.72x = 996.84 × 428
  4. Step 4: Simplify right side
    722.72x = 426,647.52
  5. Step 5: Solve for x
    x = 426,647.52/722.72
  6. Step 6: Final answer
    x = 590.34

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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.