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Finding the Fourth Proportional to 1,257.94, 1,888.53 and 1,066.78

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Solution

The fourth proportional to 1,257.94, 1,888.53 and 1,066.78 is: 1,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.94 : 1,888.53 = 1,066.78 : x
  2. Step 2: Convert to fraction form
    1,257.94/1,888.53 = 1,066.78/x
  3. Step 3: Cross multiply
    1,257.94x = 1,888.53 × 1,066.78
  4. Step 4: Simplify right side
    1,257.94x = 2,014,646.03
  5. Step 5: Solve for x
    x = 2,014,646.03/1,257.94
  6. Step 6: Final answer
    x = 1,601.54

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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.