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Finding the Fourth Proportional to 774.63, 1,161.70 and 254.51

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Solution

The fourth proportional to 774.63, 1,161.70 and 254.51 is: 381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.63 : 1,161.70 = 254.51 : x
  2. Step 2: Convert to fraction form
    774.63/1,161.70 = 254.51/x
  3. Step 3: Cross multiply
    774.63x = 1,161.70 × 254.51
  4. Step 4: Simplify right side
    774.63x = 295,664.81
  5. Step 5: Solve for x
    x = 295,664.81/774.63
  6. Step 6: Final answer
    x = 381.69

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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.