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Finding the Fourth Proportional to 619.87, 928.43 and 446.02

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Solution

The fourth proportional to 619.87, 928.43 and 446.02 is: 668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.87 : 928.43 = 446.02 : x
  2. Step 2: Convert to fraction form
    619.87/928.43 = 446.02/x
  3. Step 3: Cross multiply
    619.87x = 928.43 × 446.02
  4. Step 4: Simplify right side
    619.87x = 414,098.35
  5. Step 5: Solve for x
    x = 414,098.35/619.87
  6. Step 6: Final answer
    x = 668.04

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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.