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Finding the Fourth Proportional to 722.26, 996.75 and 474.24

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Solution

The fourth proportional to 722.26, 996.75 and 474.24 is: 654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.26 : 996.75 = 474.24 : x
  2. Step 2: Convert to fraction form
    722.26/996.75 = 474.24/x
  3. Step 3: Cross multiply
    722.26x = 996.75 × 474.24
  4. Step 4: Simplify right side
    722.26x = 472,698.72
  5. Step 5: Solve for x
    x = 472,698.72/722.26
  6. Step 6: Final answer
    x = 654.47

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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.