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Finding the Fourth Proportional to 519.05, 715.83 and 322.41

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Solution

The fourth proportional to 519.05, 715.83 and 322.41 is: 444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.05 : 715.83 = 322.41 : x
  2. Step 2: Convert to fraction form
    519.05/715.83 = 322.41/x
  3. Step 3: Cross multiply
    519.05x = 715.83 × 322.41
  4. Step 4: Simplify right side
    519.05x = 230,790.75
  5. Step 5: Solve for x
    x = 230,790.75/519.05
  6. Step 6: Final answer
    x = 444.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.