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Finding the Fourth Proportional to 455.47, 684.20 and 395.99

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Solution

The fourth proportional to 455.47, 684.20 and 395.99 is: 594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.47 : 684.20 = 395.99 : x
  2. Step 2: Convert to fraction form
    455.47/684.20 = 395.99/x
  3. Step 3: Cross multiply
    455.47x = 684.20 × 395.99
  4. Step 4: Simplify right side
    455.47x = 270,934.27
  5. Step 5: Solve for x
    x = 270,934.27/455.47
  6. Step 6: Final answer
    x = 594.84

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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.