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Finding the Fourth Proportional to 1,336.06, 2,003.58 and 642.29

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Solution

The fourth proportional to 1,336.06, 2,003.58 and 642.29 is: 963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.06 : 2,003.58 = 642.29 : x
  2. Step 2: Convert to fraction form
    1,336.06/2,003.58 = 642.29/x
  3. Step 3: Cross multiply
    1,336.06x = 2,003.58 × 642.29
  4. Step 4: Simplify right side
    1,336.06x = 1,286,879.40
  5. Step 5: Solve for x
    x = 1,286,879.40/1,336.06
  6. Step 6: Final answer
    x = 963.19

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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.