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Finding the Fourth Proportional to 779.09, 1,167.83 and 367.92

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Solution

The fourth proportional to 779.09, 1,167.83 and 367.92 is: 551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.09 : 1,167.83 = 367.92 : x
  2. Step 2: Convert to fraction form
    779.09/1,167.83 = 367.92/x
  3. Step 3: Cross multiply
    779.09x = 1,167.83 × 367.92
  4. Step 4: Simplify right side
    779.09x = 429,666.17
  5. Step 5: Solve for x
    x = 429,666.17/779.09
  6. Step 6: Final answer
    x = 551.50

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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.