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Finding the Fourth Proportional to 619.90, 928.41 and 473.92

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Solution

The fourth proportional to 619.90, 928.41 and 473.92 is: 709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.90 : 928.41 = 473.92 : x
  2. Step 2: Convert to fraction form
    619.90/928.41 = 473.92/x
  3. Step 3: Cross multiply
    619.90x = 928.41 × 473.92
  4. Step 4: Simplify right side
    619.90x = 439,992.07
  5. Step 5: Solve for x
    x = 439,992.07/619.90
  6. Step 6: Final answer
    x = 709.78

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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.