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Finding the Fourth Proportional to 722.12, 996.90 and 442.76

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Solution

The fourth proportional to 722.12, 996.90 and 442.76 is: 611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.12 : 996.90 = 442.76 : x
  2. Step 2: Convert to fraction form
    722.12/996.90 = 442.76/x
  3. Step 3: Cross multiply
    722.12x = 996.90 × 442.76
  4. Step 4: Simplify right side
    722.12x = 441,387.44
  5. Step 5: Solve for x
    x = 441,387.44/722.12
  6. Step 6: Final answer
    x = 611.24

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Half scale
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Double scale
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1.5x scale

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.