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Finding the Fourth Proportional to 845.13, 1,266.83 and 324.99

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Solution

The fourth proportional to 845.13, 1,266.83 and 324.99 is: 487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.13 : 1,266.83 = 324.99 : x
  2. Step 2: Convert to fraction form
    845.13/1,266.83 = 324.99/x
  3. Step 3: Cross multiply
    845.13x = 1,266.83 × 324.99
  4. Step 4: Simplify right side
    845.13x = 411,705.46
  5. Step 5: Solve for x
    x = 411,705.46/845.13
  6. Step 6: Final answer
    x = 487.15

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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.