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Finding the Fourth Proportional to 538.37, 803.69 and 514.73

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Solution

The fourth proportional to 538.37, 803.69 and 514.73 is: 768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.37 : 803.69 = 514.73 : x
  2. Step 2: Convert to fraction form
    538.37/803.69 = 514.73/x
  3. Step 3: Cross multiply
    538.37x = 803.69 × 514.73
  4. Step 4: Simplify right side
    538.37x = 413,683.35
  5. Step 5: Solve for x
    x = 413,683.35/538.37
  6. Step 6: Final answer
    x = 768.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.