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Finding the Fourth Proportional to 514.37, 769.84 and 391.93

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Solution

The fourth proportional to 514.37, 769.84 and 391.93 is: 586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.37 : 769.84 = 391.93 : x
  2. Step 2: Convert to fraction form
    514.37/769.84 = 391.93/x
  3. Step 3: Cross multiply
    514.37x = 769.84 × 391.93
  4. Step 4: Simplify right side
    514.37x = 301,720.49
  5. Step 5: Solve for x
    x = 301,720.49/514.37
  6. Step 6: Final answer
    x = 586.58

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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.