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Finding the Fourth Proportional to 537.63, 807.25 and 517.98

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Solution

The fourth proportional to 537.63, 807.25 and 517.98 is: 777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.63 : 807.25 = 517.98 : x
  2. Step 2: Convert to fraction form
    537.63/807.25 = 517.98/x
  3. Step 3: Cross multiply
    537.63x = 807.25 × 517.98
  4. Step 4: Simplify right side
    537.63x = 418,139.36
  5. Step 5: Solve for x
    x = 418,139.36/537.63
  6. Step 6: Final answer
    x = 777.75

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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.