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Finding the Fourth Proportional to 519.46, 780.20 and 446.31

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Solution

The fourth proportional to 519.46, 780.20 and 446.31 is: 670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.46 : 780.20 = 446.31 : x
  2. Step 2: Convert to fraction form
    519.46/780.20 = 446.31/x
  3. Step 3: Cross multiply
    519.46x = 780.20 × 446.31
  4. Step 4: Simplify right side
    519.46x = 348,210.50
  5. Step 5: Solve for x
    x = 348,210.50/519.46
  6. Step 6: Final answer
    x = 670.33

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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.