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Finding the Fourth Proportional to 1,033.53, 1,546.45 and 622.95

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Solution

The fourth proportional to 1,033.53, 1,546.45 and 622.95 is: 932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.53 : 1,546.45 = 622.95 : x
  2. Step 2: Convert to fraction form
    1,033.53/1,546.45 = 622.95/x
  3. Step 3: Cross multiply
    1,033.53x = 1,546.45 × 622.95
  4. Step 4: Simplify right side
    1,033.53x = 963,364.98
  5. Step 5: Solve for x
    x = 963,364.98/1,033.53
  6. Step 6: Final answer
    x = 932.11

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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.