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Finding the Fourth Proportional to 722.23, 996.63 and 427.52

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Solution

The fourth proportional to 722.23, 996.63 and 427.52 is: 589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.23 : 996.63 = 427.52 : x
  2. Step 2: Convert to fraction form
    722.23/996.63 = 427.52/x
  3. Step 3: Cross multiply
    722.23x = 996.63 × 427.52
  4. Step 4: Simplify right side
    722.23x = 426,079.26
  5. Step 5: Solve for x
    x = 426,079.26/722.23
  6. Step 6: Final answer
    x = 589.95

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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.