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Finding the Fourth Proportional to 721.77, 996.52 and 427.13

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Solution

The fourth proportional to 721.77, 996.52 and 427.13 is: 589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.77 : 996.52 = 427.13 : x
  2. Step 2: Convert to fraction form
    721.77/996.52 = 427.13/x
  3. Step 3: Cross multiply
    721.77x = 996.52 × 427.13
  4. Step 4: Simplify right side
    721.77x = 425,643.59
  5. Step 5: Solve for x
    x = 425,643.59/721.77
  6. Step 6: Final answer
    x = 589.72

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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.