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Finding the Fourth Proportional to 518.71, 777.14 and 462.21

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Solution

The fourth proportional to 518.71, 777.14 and 462.21 is: 692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.71 : 777.14 = 462.21 : x
  2. Step 2: Convert to fraction form
    518.71/777.14 = 462.21/x
  3. Step 3: Cross multiply
    518.71x = 777.14 × 462.21
  4. Step 4: Simplify right side
    518.71x = 359,201.88
  5. Step 5: Solve for x
    x = 359,201.88/518.71
  6. Step 6: Final answer
    x = 692.50

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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.