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Finding the Fourth Proportional to 622.90, 939.23 and 546.10

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Solution

The fourth proportional to 622.90, 939.23 and 546.10 is: 823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.90 : 939.23 = 546.10 : x
  2. Step 2: Convert to fraction form
    622.90/939.23 = 546.10/x
  3. Step 3: Cross multiply
    622.90x = 939.23 × 546.10
  4. Step 4: Simplify right side
    622.90x = 512,913.50
  5. Step 5: Solve for x
    x = 512,913.50/622.90
  6. Step 6: Final answer
    x = 823.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.