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Finding the Fourth Proportional to 519, 776.08 and 387.46

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Solution

The fourth proportional to 519, 776.08 and 387.46 is: 579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 776.08 = 387.46 : x
  2. Step 2: Convert to fraction form
    519/776.08 = 387.46/x
  3. Step 3: Cross multiply
    519x = 776.08 × 387.46
  4. Step 4: Simplify right side
    519x = 300,699.96
  5. Step 5: Solve for x
    x = 300,699.96/519
  6. Step 6: Final answer
    x = 579.38

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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.