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Finding the Fourth Proportional to 612.85, 845.74 and 333.10

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Solution

The fourth proportional to 612.85, 845.74 and 333.10 is: 459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.85 : 845.74 = 333.10 : x
  2. Step 2: Convert to fraction form
    612.85/845.74 = 333.10/x
  3. Step 3: Cross multiply
    612.85x = 845.74 × 333.10
  4. Step 4: Simplify right side
    612.85x = 281,715.99
  5. Step 5: Solve for x
    x = 281,715.99/612.85
  6. Step 6: Final answer
    x = 459.68

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