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Finding the Fourth Proportional to 612.87, 845.75 and 333.10

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Solution

The fourth proportional to 612.87, 845.75 and 333.10 is: 459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.87 : 845.75 = 333.10 : x
  2. Step 2: Convert to fraction form
    612.87/845.75 = 333.10/x
  3. Step 3: Cross multiply
    612.87x = 845.75 × 333.10
  4. Step 4: Simplify right side
    612.87x = 281,719.33
  5. Step 5: Solve for x
    x = 281,719.33/612.87
  6. Step 6: Final answer
    x = 459.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.