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Finding the Fourth Proportional to 1,220.51, 1,830.38 and 398.66

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Solution

The fourth proportional to 1,220.51, 1,830.38 and 398.66 is: 597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.51 : 1,830.38 = 398.66 : x
  2. Step 2: Convert to fraction form
    1,220.51/1,830.38 = 398.66/x
  3. Step 3: Cross multiply
    1,220.51x = 1,830.38 × 398.66
  4. Step 4: Simplify right side
    1,220.51x = 729,688.15
  5. Step 5: Solve for x
    x = 729,688.15/1,220.51
  6. Step 6: Final answer
    x = 597.86

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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.