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Finding the Fourth Proportional to 805.78, 1,112.70 and 544.42

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Solution

The fourth proportional to 805.78, 1,112.70 and 544.42 is: 751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.78 : 1,112.70 = 544.42 : x
  2. Step 2: Convert to fraction form
    805.78/1,112.70 = 544.42/x
  3. Step 3: Cross multiply
    805.78x = 1,112.70 × 544.42
  4. Step 4: Simplify right side
    805.78x = 605,776.13
  5. Step 5: Solve for x
    x = 605,776.13/805.78
  6. Step 6: Final answer
    x = 751.79

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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.