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Finding the Fourth Proportional to 912.78, 1,367.91 and 790.74

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Solution

The fourth proportional to 912.78, 1,367.91 and 790.74 is: 1,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.78 : 1,367.91 = 790.74 : x
  2. Step 2: Convert to fraction form
    912.78/1,367.91 = 790.74/x
  3. Step 3: Cross multiply
    912.78x = 1,367.91 × 790.74
  4. Step 4: Simplify right side
    912.78x = 1,081,661.15
  5. Step 5: Solve for x
    x = 1,081,661.15/912.78
  6. Step 6: Final answer
    x = 1,185.02

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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.