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Finding the Fourth Proportional to 722.40, 996.30 and 460.32

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Solution

The fourth proportional to 722.40, 996.30 and 460.32 is: 634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.40 : 996.30 = 460.32 : x
  2. Step 2: Convert to fraction form
    722.40/996.30 = 460.32/x
  3. Step 3: Cross multiply
    722.40x = 996.30 × 460.32
  4. Step 4: Simplify right side
    722.40x = 458,616.82
  5. Step 5: Solve for x
    x = 458,616.82/722.40
  6. Step 6: Final answer
    x = 634.85

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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.