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Finding the Fourth Proportional to 547.83, 823.57 and 427.55

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Solution

The fourth proportional to 547.83, 823.57 and 427.55 is: 642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.83 : 823.57 = 427.55 : x
  2. Step 2: Convert to fraction form
    547.83/823.57 = 427.55/x
  3. Step 3: Cross multiply
    547.83x = 823.57 × 427.55
  4. Step 4: Simplify right side
    547.83x = 352,112.17
  5. Step 5: Solve for x
    x = 352,112.17/547.83
  6. Step 6: Final answer
    x = 642.74

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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.