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Finding the Fourth Proportional to 822.25, 1,232.75 and 497.54

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Solution

The fourth proportional to 822.25, 1,232.75 and 497.54 is: 745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.25 : 1,232.75 = 497.54 : x
  2. Step 2: Convert to fraction form
    822.25/1,232.75 = 497.54/x
  3. Step 3: Cross multiply
    822.25x = 1,232.75 × 497.54
  4. Step 4: Simplify right side
    822.25x = 613,346.76
  5. Step 5: Solve for x
    x = 613,346.76/822.25
  6. Step 6: Final answer
    x = 745.94

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Double scale
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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.