Home / 1,220.38-1,830.23-398.70

Finding the Fourth Proportional to 1,220.38, 1,830.23 and 398.70

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Solution

The fourth proportional to 1,220.38, 1,830.23 and 398.70 is: 597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.38 : 1,830.23 = 398.70 : x
  2. Step 2: Convert to fraction form
    1,220.38/1,830.23 = 398.70/x
  3. Step 3: Cross multiply
    1,220.38x = 1,830.23 × 398.70
  4. Step 4: Simplify right side
    1,220.38x = 729,710.71
  5. Step 5: Solve for x
    x = 729,710.71/1,220.38
  6. Step 6: Final answer
    x = 597.94

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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.