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Finding the Fourth Proportional to 777.10, 1,166.04 and 290.26

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Solution

The fourth proportional to 777.10, 1,166.04 and 290.26 is: 435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.10 : 1,166.04 = 290.26 : x
  2. Step 2: Convert to fraction form
    777.10/1,166.04 = 290.26/x
  3. Step 3: Cross multiply
    777.10x = 1,166.04 × 290.26
  4. Step 4: Simplify right side
    777.10x = 338,454.77
  5. Step 5: Solve for x
    x = 338,454.77/777.10
  6. Step 6: Final answer
    x = 435.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.