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Finding the Fourth Proportional to 1,204.30, 1,802.60 and 874.09

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Solution

The fourth proportional to 1,204.30, 1,802.60 and 874.09 is: 1,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.30 : 1,802.60 = 874.09 : x
  2. Step 2: Convert to fraction form
    1,204.30/1,802.60 = 874.09/x
  3. Step 3: Cross multiply
    1,204.30x = 1,802.60 × 874.09
  4. Step 4: Simplify right side
    1,204.30x = 1,575,634.63
  5. Step 5: Solve for x
    x = 1,575,634.63/1,204.30
  6. Step 6: Final answer
    x = 1,308.34

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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.