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Finding the Fourth Proportional to 537.80, 754 and 537.80

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Solution

The fourth proportional to 537.80, 754 and 537.80 is: 754

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 754 = 537.80 : x
  2. Step 2: Convert to fraction form
    537.80/754 = 537.80/x
  3. Step 3: Cross multiply
    537.80x = 754 × 537.80
  4. Step 4: Simplify right side
    537.80x = 405,501.20
  5. Step 5: Solve for x
    x = 405,501.20/537.80
  6. Step 6: Final answer
    x = 754

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.