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Finding the Fourth Proportional to 1,194.80, 1,647.78 and 775.00

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Solution

The fourth proportional to 1,194.80, 1,647.78 and 775.00 is: 1,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.80 : 1,647.78 = 775.00 : x
  2. Step 2: Convert to fraction form
    1,194.80/1,647.78 = 775.00/x
  3. Step 3: Cross multiply
    1,194.80x = 1,647.78 × 775.00
  4. Step 4: Simplify right side
    1,194.80x = 1,277,021.26
  5. Step 5: Solve for x
    x = 1,277,021.26/1,194.80
  6. Step 6: Final answer
    x = 1,068.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.