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Finding the Fourth Proportional to 628.47, 873.23 and 622.13

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Solution

The fourth proportional to 628.47, 873.23 and 622.13 is: 864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.47 : 873.23 = 622.13 : x
  2. Step 2: Convert to fraction form
    628.47/873.23 = 622.13/x
  3. Step 3: Cross multiply
    628.47x = 873.23 × 622.13
  4. Step 4: Simplify right side
    628.47x = 543,255.10
  5. Step 5: Solve for x
    x = 543,255.10/628.47
  6. Step 6: Final answer
    x = 864.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.