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Finding the Fourth Proportional to 776.58, 1,164.66 and 228.62

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Solution

The fourth proportional to 776.58, 1,164.66 and 228.62 is: 342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.58 : 1,164.66 = 228.62 : x
  2. Step 2: Convert to fraction form
    776.58/1,164.66 = 228.62/x
  3. Step 3: Cross multiply
    776.58x = 1,164.66 × 228.62
  4. Step 4: Simplify right side
    776.58x = 266,264.57
  5. Step 5: Solve for x
    x = 266,264.57/776.58
  6. Step 6: Final answer
    x = 342.87

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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.