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Finding the Fourth Proportional to 550.97, 828.16 and 320.33

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Solution

The fourth proportional to 550.97, 828.16 and 320.33 is: 481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.97 : 828.16 = 320.33 : x
  2. Step 2: Convert to fraction form
    550.97/828.16 = 320.33/x
  3. Step 3: Cross multiply
    550.97x = 828.16 × 320.33
  4. Step 4: Simplify right side
    550.97x = 265,284.49
  5. Step 5: Solve for x
    x = 265,284.49/550.97
  6. Step 6: Final answer
    x = 481.49

Related Problems

Find fourth proportional to 275.49, 414.08 and 160.17
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Double scale
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Similar ratio
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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.