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Finding the Fourth Proportional to 618.50, 928.02 and 455.42

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Solution

The fourth proportional to 618.50, 928.02 and 455.42 is: 683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.50 : 928.02 = 455.42 : x
  2. Step 2: Convert to fraction form
    618.50/928.02 = 455.42/x
  3. Step 3: Cross multiply
    618.50x = 928.02 × 455.42
  4. Step 4: Simplify right side
    618.50x = 422,638.87
  5. Step 5: Solve for x
    x = 422,638.87/618.50
  6. Step 6: Final answer
    x = 683.33

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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.