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Finding the Fourth Proportional to 1,188.25, 1,784.99 and 778.03

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Solution

The fourth proportional to 1,188.25, 1,784.99 and 778.03 is: 1,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.25 : 1,784.99 = 778.03 : x
  2. Step 2: Convert to fraction form
    1,188.25/1,784.99 = 778.03/x
  3. Step 3: Cross multiply
    1,188.25x = 1,784.99 × 778.03
  4. Step 4: Simplify right side
    1,188.25x = 1,388,775.77
  5. Step 5: Solve for x
    x = 1,388,775.77/1,188.25
  6. Step 6: Final answer
    x = 1,168.76

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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.