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Finding the Fourth Proportional to 519.58, 776.91 and 446.68

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Solution

The fourth proportional to 519.58, 776.91 and 446.68 is: 667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.58 : 776.91 = 446.68 : x
  2. Step 2: Convert to fraction form
    519.58/776.91 = 446.68/x
  3. Step 3: Cross multiply
    519.58x = 776.91 × 446.68
  4. Step 4: Simplify right side
    519.58x = 347,030.16
  5. Step 5: Solve for x
    x = 347,030.16/519.58
  6. Step 6: Final answer
    x = 667.91

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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.