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Finding the Fourth Proportional to 519.10, 715.67 and 419.41

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Solution

The fourth proportional to 519.10, 715.67 and 419.41 is: 578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.10 : 715.67 = 419.41 : x
  2. Step 2: Convert to fraction form
    519.10/715.67 = 419.41/x
  3. Step 3: Cross multiply
    519.10x = 715.67 × 419.41
  4. Step 4: Simplify right side
    519.10x = 300,155.58
  5. Step 5: Solve for x
    x = 300,155.58/519.10
  6. Step 6: Final answer
    x = 578.22

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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.