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Finding the Fourth Proportional to 519.55, 774.80 and 443.00

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Solution

The fourth proportional to 519.55, 774.80 and 443.00 is: 660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.55 : 774.80 = 443.00 : x
  2. Step 2: Convert to fraction form
    519.55/774.80 = 443.00/x
  3. Step 3: Cross multiply
    519.55x = 774.80 × 443.00
  4. Step 4: Simplify right side
    519.55x = 343,237.78
  5. Step 5: Solve for x
    x = 343,237.78/519.55
  6. Step 6: Final answer
    x = 660.65

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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.