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Finding the Fourth Proportional to 514.27, 769.47 and 376.93

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Solution

The fourth proportional to 514.27, 769.47 and 376.93 is: 563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.27 : 769.47 = 376.93 : x
  2. Step 2: Convert to fraction form
    514.27/769.47 = 376.93/x
  3. Step 3: Cross multiply
    514.27x = 769.47 × 376.93
  4. Step 4: Simplify right side
    514.27x = 290,036.33
  5. Step 5: Solve for x
    x = 290,036.33/514.27
  6. Step 6: Final answer
    x = 563.98

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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.