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Finding the Fourth Proportional to 513.57, 766.41 and 444.99

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Solution

The fourth proportional to 513.57, 766.41 and 444.99 is: 664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 766.41 = 444.99 : x
  2. Step 2: Convert to fraction form
    513.57/766.41 = 444.99/x
  3. Step 3: Cross multiply
    513.57x = 766.41 × 444.99
  4. Step 4: Simplify right side
    513.57x = 341,044.79
  5. Step 5: Solve for x
    x = 341,044.79/513.57
  6. Step 6: Final answer
    x = 664.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.