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Finding the Fourth Proportional to 1,187.73, 1,780.79 and 700.52

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Solution

The fourth proportional to 1,187.73, 1,780.79 and 700.52 is: 1,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.73 : 1,780.79 = 700.52 : x
  2. Step 2: Convert to fraction form
    1,187.73/1,780.79 = 700.52/x
  3. Step 3: Cross multiply
    1,187.73x = 1,780.79 × 700.52
  4. Step 4: Simplify right side
    1,187.73x = 1,247,466.60
  5. Step 5: Solve for x
    x = 1,247,466.60/1,187.73
  6. Step 6: Final answer
    x = 1,050.29

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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.