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Finding the Fourth Proportional to 548.98, 823.56 and 260.26

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Solution

The fourth proportional to 548.98, 823.56 and 260.26 is: 390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.98 : 823.56 = 260.26 : x
  2. Step 2: Convert to fraction form
    548.98/823.56 = 260.26/x
  3. Step 3: Cross multiply
    548.98x = 823.56 × 260.26
  4. Step 4: Simplify right side
    548.98x = 214,339.73
  5. Step 5: Solve for x
    x = 214,339.73/548.98
  6. Step 6: Final answer
    x = 390.43

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1.5x scale

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.