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Finding the Fourth Proportional to 1,208.87, 1,813.34 and 428.95

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Solution

The fourth proportional to 1,208.87, 1,813.34 and 428.95 is: 643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.87 : 1,813.34 = 428.95 : x
  2. Step 2: Convert to fraction form
    1,208.87/1,813.34 = 428.95/x
  3. Step 3: Cross multiply
    1,208.87x = 1,813.34 × 428.95
  4. Step 4: Simplify right side
    1,208.87x = 777,832.19
  5. Step 5: Solve for x
    x = 777,832.19/1,208.87
  6. Step 6: Final answer
    x = 643.44

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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.