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Finding the Fourth Proportional to 1,190.22, 1,785.59 and 642.39

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Solution

The fourth proportional to 1,190.22, 1,785.59 and 642.39 is: 963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.22 : 1,785.59 = 642.39 : x
  2. Step 2: Convert to fraction form
    1,190.22/1,785.59 = 642.39/x
  3. Step 3: Cross multiply
    1,190.22x = 1,785.59 × 642.39
  4. Step 4: Simplify right side
    1,190.22x = 1,147,036.23
  5. Step 5: Solve for x
    x = 1,147,036.23/1,190.22
  6. Step 6: Final answer
    x = 963.72

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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.