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Finding the Fourth Proportional to 795.78, 1,190.93 and 631.75

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Solution

The fourth proportional to 795.78, 1,190.93 and 631.75 is: 945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.78 : 1,190.93 = 631.75 : x
  2. Step 2: Convert to fraction form
    795.78/1,190.93 = 631.75/x
  3. Step 3: Cross multiply
    795.78x = 1,190.93 × 631.75
  4. Step 4: Simplify right side
    795.78x = 752,370.03
  5. Step 5: Solve for x
    x = 752,370.03/795.78
  6. Step 6: Final answer
    x = 945.45

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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.