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Finding the Fourth Proportional to 1,220.14, 1,830.59 and 398.42

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Solution

The fourth proportional to 1,220.14, 1,830.59 and 398.42 is: 597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.14 : 1,830.59 = 398.42 : x
  2. Step 2: Convert to fraction form
    1,220.14/1,830.59 = 398.42/x
  3. Step 3: Cross multiply
    1,220.14x = 1,830.59 × 398.42
  4. Step 4: Simplify right side
    1,220.14x = 729,343.67
  5. Step 5: Solve for x
    x = 729,343.67/1,220.14
  6. Step 6: Final answer
    x = 597.75

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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.