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Finding the Fourth Proportional to 777.26, 1,166.43 and 290.72

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Solution

The fourth proportional to 777.26, 1,166.43 and 290.72 is: 436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.26 : 1,166.43 = 290.72 : x
  2. Step 2: Convert to fraction form
    777.26/1,166.43 = 290.72/x
  3. Step 3: Cross multiply
    777.26x = 1,166.43 × 290.72
  4. Step 4: Simplify right side
    777.26x = 339,108.54
  5. Step 5: Solve for x
    x = 339,108.54/777.26
  6. Step 6: Final answer
    x = 436.29

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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.