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Finding the Fourth Proportional to 722.85, 996.87 and 474.07

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Solution

The fourth proportional to 722.85, 996.87 and 474.07 is: 653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.85 : 996.87 = 474.07 : x
  2. Step 2: Convert to fraction form
    722.85/996.87 = 474.07/x
  3. Step 3: Cross multiply
    722.85x = 996.87 × 474.07
  4. Step 4: Simplify right side
    722.85x = 472,586.16
  5. Step 5: Solve for x
    x = 472,586.16/722.85
  6. Step 6: Final answer
    x = 653.78

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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.