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Finding the Fourth Proportional to 1,210.42, 1,805 and 1,143.73

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Solution

The fourth proportional to 1,210.42, 1,805 and 1,143.73 is: 1,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.42 : 1,805 = 1,143.73 : x
  2. Step 2: Convert to fraction form
    1,210.42/1,805 = 1,143.73/x
  3. Step 3: Cross multiply
    1,210.42x = 1,805 × 1,143.73
  4. Step 4: Simplify right side
    1,210.42x = 2,064,432.65
  5. Step 5: Solve for x
    x = 2,064,432.65/1,210.42
  6. Step 6: Final answer
    x = 1,705.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.