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Finding the Fourth Proportional to 792.81, 1,182.93 and 788.22

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Solution

The fourth proportional to 792.81, 1,182.93 and 788.22 is: 1,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.81 : 1,182.93 = 788.22 : x
  2. Step 2: Convert to fraction form
    792.81/1,182.93 = 788.22/x
  3. Step 3: Cross multiply
    792.81x = 1,182.93 × 788.22
  4. Step 4: Simplify right side
    792.81x = 932,409.08
  5. Step 5: Solve for x
    x = 932,409.08/792.81
  6. Step 6: Final answer
    x = 1,176.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.