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Finding the Fourth Proportional to 771.94, 1,158.39 and 447.94

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Solution

The fourth proportional to 771.94, 1,158.39 and 447.94 is: 672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.94 : 1,158.39 = 447.94 : x
  2. Step 2: Convert to fraction form
    771.94/1,158.39 = 447.94/x
  3. Step 3: Cross multiply
    771.94x = 1,158.39 × 447.94
  4. Step 4: Simplify right side
    771.94x = 518,889.22
  5. Step 5: Solve for x
    x = 518,889.22/771.94
  6. Step 6: Final answer
    x = 672.19

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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.