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Finding the Fourth Proportional to 632.42, 872.25 and 422.22

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Solution

The fourth proportional to 632.42, 872.25 and 422.22 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.42 : 872.25 = 422.22 : x
  2. Step 2: Convert to fraction form
    632.42/872.25 = 422.22/x
  3. Step 3: Cross multiply
    632.42x = 872.25 × 422.22
  4. Step 4: Simplify right side
    632.42x = 368,281.40
  5. Step 5: Solve for x
    x = 368,281.40/632.42
  6. Step 6: Final answer
    x = 582.34

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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.