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Finding the Fourth Proportional to 628.13, 941.57 and 422.22

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Solution

The fourth proportional to 628.13, 941.57 and 422.22 is: 632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.13 : 941.57 = 422.22 : x
  2. Step 2: Convert to fraction form
    628.13/941.57 = 422.22/x
  3. Step 3: Cross multiply
    628.13x = 941.57 × 422.22
  4. Step 4: Simplify right side
    628.13x = 397,547.57
  5. Step 5: Solve for x
    x = 397,547.57/628.13
  6. Step 6: Final answer
    x = 632.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.