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Finding the Fourth Proportional to 548.61, 823.55 and 376.01

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Solution

The fourth proportional to 548.61, 823.55 and 376.01 is: 564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.61 : 823.55 = 376.01 : x
  2. Step 2: Convert to fraction form
    548.61/823.55 = 376.01/x
  3. Step 3: Cross multiply
    548.61x = 823.55 × 376.01
  4. Step 4: Simplify right side
    548.61x = 309,657.04
  5. Step 5: Solve for x
    x = 309,657.04/548.61
  6. Step 6: Final answer
    x = 564.44

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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.