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Finding the Fourth Proportional to 781.19, 1,078.13 and 584.36

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Solution

The fourth proportional to 781.19, 1,078.13 and 584.36 is: 806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.19 : 1,078.13 = 584.36 : x
  2. Step 2: Convert to fraction form
    781.19/1,078.13 = 584.36/x
  3. Step 3: Cross multiply
    781.19x = 1,078.13 × 584.36
  4. Step 4: Simplify right side
    781.19x = 630,016.05
  5. Step 5: Solve for x
    x = 630,016.05/781.19
  6. Step 6: Final answer
    x = 806.48

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1.5x scale

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.