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Finding the Fourth Proportional to 813.25, 1,219.75 and 300.13

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Solution

The fourth proportional to 813.25, 1,219.75 and 300.13 is: 450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.25 : 1,219.75 = 300.13 : x
  2. Step 2: Convert to fraction form
    813.25/1,219.75 = 300.13/x
  3. Step 3: Cross multiply
    813.25x = 1,219.75 × 300.13
  4. Step 4: Simplify right side
    813.25x = 366,075.97
  5. Step 5: Solve for x
    x = 366,075.97/813.25
  6. Step 6: Final answer
    x = 450.14

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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.