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Finding the Fourth Proportional to 455.60, 683.73 and 318.80

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Solution

The fourth proportional to 455.60, 683.73 and 318.80 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.60 : 683.73 = 318.80 : x
  2. Step 2: Convert to fraction form
    455.60/683.73 = 318.80/x
  3. Step 3: Cross multiply
    455.60x = 683.73 × 318.80
  4. Step 4: Simplify right side
    455.60x = 217,969.71
  5. Step 5: Solve for x
    x = 217,969.71/455.60
  6. Step 6: Final answer
    x = 478.43

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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.