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Finding the Fourth Proportional to 722.63, 996.19 and 473.86

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Solution

The fourth proportional to 722.63, 996.19 and 473.86 is: 653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.63 : 996.19 = 473.86 : x
  2. Step 2: Convert to fraction form
    722.63/996.19 = 473.86/x
  3. Step 3: Cross multiply
    722.63x = 996.19 × 473.86
  4. Step 4: Simplify right side
    722.63x = 472,054.59
  5. Step 5: Solve for x
    x = 472,054.59/722.63
  6. Step 6: Final answer
    x = 653.25

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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.