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Finding the Fourth Proportional to 1,219.78, 1,829.04 and 397.52

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Solution

The fourth proportional to 1,219.78, 1,829.04 and 397.52 is: 596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.78 : 1,829.04 = 397.52 : x
  2. Step 2: Convert to fraction form
    1,219.78/1,829.04 = 397.52/x
  3. Step 3: Cross multiply
    1,219.78x = 1,829.04 × 397.52
  4. Step 4: Simplify right side
    1,219.78x = 727,079.98
  5. Step 5: Solve for x
    x = 727,079.98/1,219.78
  6. Step 6: Final answer
    x = 596.08

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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.