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Finding the Fourth Proportional to 622.45, 933.45 and 189.46

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Solution

The fourth proportional to 622.45, 933.45 and 189.46 is: 284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.45 : 933.45 = 189.46 : x
  2. Step 2: Convert to fraction form
    622.45/933.45 = 189.46/x
  3. Step 3: Cross multiply
    622.45x = 933.45 × 189.46
  4. Step 4: Simplify right side
    622.45x = 176,851.44
  5. Step 5: Solve for x
    x = 176,851.44/622.45
  6. Step 6: Final answer
    x = 284.12

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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.