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Finding the Fourth Proportional to 759.58, 1,047.52 and 548.98

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Solution

The fourth proportional to 759.58, 1,047.52 and 548.98 is: 757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.58 : 1,047.52 = 548.98 : x
  2. Step 2: Convert to fraction form
    759.58/1,047.52 = 548.98/x
  3. Step 3: Cross multiply
    759.58x = 1,047.52 × 548.98
  4. Step 4: Simplify right side
    759.58x = 575,067.53
  5. Step 5: Solve for x
    x = 575,067.53/759.58
  6. Step 6: Final answer
    x = 757.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.