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Finding the Fourth Proportional to 1,068.12, 1,601.78 and 418.50

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Solution

The fourth proportional to 1,068.12, 1,601.78 and 418.50 is: 627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.12 : 1,601.78 = 418.50 : x
  2. Step 2: Convert to fraction form
    1,068.12/1,601.78 = 418.50/x
  3. Step 3: Cross multiply
    1,068.12x = 1,601.78 × 418.50
  4. Step 4: Simplify right side
    1,068.12x = 670,342.84
  5. Step 5: Solve for x
    x = 670,342.84/1,068.12
  6. Step 6: Final answer
    x = 627.59

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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.