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Finding the Fourth Proportional to 473.64, 705.72 and 422.52

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Solution

The fourth proportional to 473.64, 705.72 and 422.52 is: 629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.64 : 705.72 = 422.52 : x
  2. Step 2: Convert to fraction form
    473.64/705.72 = 422.52/x
  3. Step 3: Cross multiply
    473.64x = 705.72 × 422.52
  4. Step 4: Simplify right side
    473.64x = 298,180.81
  5. Step 5: Solve for x
    x = 298,180.81/473.64
  6. Step 6: Final answer
    x = 629.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.