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Finding the Fourth Proportional to 519.08, 777.71 and 462.59

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Solution

The fourth proportional to 519.08, 777.71 and 462.59 is: 693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.08 : 777.71 = 462.59 : x
  2. Step 2: Convert to fraction form
    519.08/777.71 = 462.59/x
  3. Step 3: Cross multiply
    519.08x = 777.71 × 462.59
  4. Step 4: Simplify right side
    519.08x = 359,756.98
  5. Step 5: Solve for x
    x = 359,756.98/519.08
  6. Step 6: Final answer
    x = 693.07

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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.