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Finding the Fourth Proportional to 1,189.85, 1,785.53 and 642.41

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Solution

The fourth proportional to 1,189.85, 1,785.53 and 642.41 is: 964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.85 : 1,785.53 = 642.41 : x
  2. Step 2: Convert to fraction form
    1,189.85/1,785.53 = 642.41/x
  3. Step 3: Cross multiply
    1,189.85x = 1,785.53 × 642.41
  4. Step 4: Simplify right side
    1,189.85x = 1,147,030.19
  5. Step 5: Solve for x
    x = 1,147,030.19/1,189.85
  6. Step 6: Final answer
    x = 964.02

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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.