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Finding the Fourth Proportional to 776.12, 1,164.26 and 289.06

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Solution

The fourth proportional to 776.12, 1,164.26 and 289.06 is: 433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.12 : 1,164.26 = 289.06 : x
  2. Step 2: Convert to fraction form
    776.12/1,164.26 = 289.06/x
  3. Step 3: Cross multiply
    776.12x = 1,164.26 × 289.06
  4. Step 4: Simplify right side
    776.12x = 336,537.36
  5. Step 5: Solve for x
    x = 336,537.36/776.12
  6. Step 6: Final answer
    x = 433.61

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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.