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Finding the Fourth Proportional to 519.10, 715.44 and 394.48

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Solution

The fourth proportional to 519.10, 715.44 and 394.48 is: 543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.10 : 715.44 = 394.48 : x
  2. Step 2: Convert to fraction form
    519.10/715.44 = 394.48/x
  3. Step 3: Cross multiply
    519.10x = 715.44 × 394.48
  4. Step 4: Simplify right side
    519.10x = 282,226.77
  5. Step 5: Solve for x
    x = 282,226.77/519.10
  6. Step 6: Final answer
    x = 543.68

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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.