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Finding the Fourth Proportional to 1,213.91, 1,819.04 and 904.31

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Solution

The fourth proportional to 1,213.91, 1,819.04 and 904.31 is: 1,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.91 : 1,819.04 = 904.31 : x
  2. Step 2: Convert to fraction form
    1,213.91/1,819.04 = 904.31/x
  3. Step 3: Cross multiply
    1,213.91x = 1,819.04 × 904.31
  4. Step 4: Simplify right side
    1,213.91x = 1,644,962.45
  5. Step 5: Solve for x
    x = 1,644,962.45/1,213.91
  6. Step 6: Final answer
    x = 1,355.10

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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.