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Finding the Fourth Proportional to 612.81, 919.77 and 382.15

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Solution

The fourth proportional to 612.81, 919.77 and 382.15 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.81 : 919.77 = 382.15 : x
  2. Step 2: Convert to fraction form
    612.81/919.77 = 382.15/x
  3. Step 3: Cross multiply
    612.81x = 919.77 × 382.15
  4. Step 4: Simplify right side
    612.81x = 351,490.11
  5. Step 5: Solve for x
    x = 351,490.11/612.81
  6. Step 6: Final answer
    x = 573.57

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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.