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Finding the Fourth Proportional to 776.29, 1,164.07 and 228.33

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Solution

The fourth proportional to 776.29, 1,164.07 and 228.33 is: 342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.29 : 1,164.07 = 228.33 : x
  2. Step 2: Convert to fraction form
    776.29/1,164.07 = 228.33/x
  3. Step 3: Cross multiply
    776.29x = 1,164.07 × 228.33
  4. Step 4: Simplify right side
    776.29x = 265,792.10
  5. Step 5: Solve for x
    x = 265,792.10/776.29
  6. Step 6: Final answer
    x = 342.39

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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.