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Finding the Fourth Proportional to 1,191, 1,644.08 and 778.20

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Solution

The fourth proportional to 1,191, 1,644.08 and 778.20 is: 1,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191 : 1,644.08 = 778.20 : x
  2. Step 2: Convert to fraction form
    1,191/1,644.08 = 778.20/x
  3. Step 3: Cross multiply
    1,191x = 1,644.08 × 778.20
  4. Step 4: Simplify right side
    1,191x = 1,279,423.06
  5. Step 5: Solve for x
    x = 1,279,423.06/1,191
  6. Step 6: Final answer
    x = 1,074.24

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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.