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Finding the Fourth Proportional to 1,219.31, 1,828.98 and 604.31

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Solution

The fourth proportional to 1,219.31, 1,828.98 and 604.31 is: 906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.31 : 1,828.98 = 604.31 : x
  2. Step 2: Convert to fraction form
    1,219.31/1,828.98 = 604.31/x
  3. Step 3: Cross multiply
    1,219.31x = 1,828.98 × 604.31
  4. Step 4: Simplify right side
    1,219.31x = 1,105,270.90
  5. Step 5: Solve for x
    x = 1,105,270.90/1,219.31
  6. Step 6: Final answer
    x = 906.47

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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.