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Finding the Fourth Proportional to 1,219.99, 1,830.24 and 398.25

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Solution

The fourth proportional to 1,219.99, 1,830.24 and 398.25 is: 597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.99 : 1,830.24 = 398.25 : x
  2. Step 2: Convert to fraction form
    1,219.99/1,830.24 = 398.25/x
  3. Step 3: Cross multiply
    1,219.99x = 1,830.24 × 398.25
  4. Step 4: Simplify right side
    1,219.99x = 728,881.94
  5. Step 5: Solve for x
    x = 728,881.94/1,219.99
  6. Step 6: Final answer
    x = 597.45

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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.