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Finding the Fourth Proportional to 813.48, 1,122.98 and 533.73

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Solution

The fourth proportional to 813.48, 1,122.98 and 533.73 is: 736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.48 : 1,122.98 = 533.73 : x
  2. Step 2: Convert to fraction form
    813.48/1,122.98 = 533.73/x
  3. Step 3: Cross multiply
    813.48x = 1,122.98 × 533.73
  4. Step 4: Simplify right side
    813.48x = 599,365.45
  5. Step 5: Solve for x
    x = 599,365.45/813.48
  6. Step 6: Final answer
    x = 736.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.