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Finding the Fourth Proportional to 622.30, 869.60 and 622.30

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Solution

The fourth proportional to 622.30, 869.60 and 622.30 is: 869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.30 : 869.60 = 622.30 : x
  2. Step 2: Convert to fraction form
    622.30/869.60 = 622.30/x
  3. Step 3: Cross multiply
    622.30x = 869.60 × 622.30
  4. Step 4: Simplify right side
    622.30x = 541,152.08
  5. Step 5: Solve for x
    x = 541,152.08/622.30
  6. Step 6: Final answer
    x = 869.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.