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Finding the Fourth Proportional to 1,189.71, 1,785.78 and 670.50

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Solution

The fourth proportional to 1,189.71, 1,785.78 and 670.50 is: 1,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.71 : 1,785.78 = 670.50 : x
  2. Step 2: Convert to fraction form
    1,189.71/1,785.78 = 670.50/x
  3. Step 3: Cross multiply
    1,189.71x = 1,785.78 × 670.50
  4. Step 4: Simplify right side
    1,189.71x = 1,197,365.49
  5. Step 5: Solve for x
    x = 1,197,365.49/1,189.71
  6. Step 6: Final answer
    x = 1,006.43

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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.