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Finding the Fourth Proportional to 455.46, 684.22 and 393.98

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Solution

The fourth proportional to 455.46, 684.22 and 393.98 is: 591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.46 : 684.22 = 393.98 : x
  2. Step 2: Convert to fraction form
    455.46/684.22 = 393.98/x
  3. Step 3: Cross multiply
    455.46x = 684.22 × 393.98
  4. Step 4: Simplify right side
    455.46x = 269,569.00
  5. Step 5: Solve for x
    x = 269,569.00/455.46
  6. Step 6: Final answer
    x = 591.86

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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.