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Finding the Fourth Proportional to 547.75, 824.63 and 483.12

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Solution

The fourth proportional to 547.75, 824.63 and 483.12 is: 727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.75 : 824.63 = 483.12 : x
  2. Step 2: Convert to fraction form
    547.75/824.63 = 483.12/x
  3. Step 3: Cross multiply
    547.75x = 824.63 × 483.12
  4. Step 4: Simplify right side
    547.75x = 398,395.25
  5. Step 5: Solve for x
    x = 398,395.25/547.75
  6. Step 6: Final answer
    x = 727.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.