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Finding the Fourth Proportional to 514.25, 770.77 and 462.61

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Solution

The fourth proportional to 514.25, 770.77 and 462.61 is: 693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.25 : 770.77 = 462.61 : x
  2. Step 2: Convert to fraction form
    514.25/770.77 = 462.61/x
  3. Step 3: Cross multiply
    514.25x = 770.77 × 462.61
  4. Step 4: Simplify right side
    514.25x = 356,564.85
  5. Step 5: Solve for x
    x = 356,564.85/514.25
  6. Step 6: Final answer
    x = 693.37

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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.