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Finding the Fourth Proportional to 537, 803.80 and 450.44

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Solution

The fourth proportional to 537, 803.80 and 450.44 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 803.80 = 450.44 : x
  2. Step 2: Convert to fraction form
    537/803.80 = 450.44/x
  3. Step 3: Cross multiply
    537x = 803.80 × 450.44
  4. Step 4: Simplify right side
    537x = 362,063.67
  5. Step 5: Solve for x
    x = 362,063.67/537
  6. Step 6: Final answer
    x = 674.23

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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.