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Finding the Fourth Proportional to 1,257.15, 1,885.73 and 608.43

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Solution

The fourth proportional to 1,257.15, 1,885.73 and 608.43 is: 912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.15 : 1,885.73 = 608.43 : x
  2. Step 2: Convert to fraction form
    1,257.15/1,885.73 = 608.43/x
  3. Step 3: Cross multiply
    1,257.15x = 1,885.73 × 608.43
  4. Step 4: Simplify right side
    1,257.15x = 1,147,331.66
  5. Step 5: Solve for x
    x = 1,147,331.66/1,257.15
  6. Step 6: Final answer
    x = 912.65

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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.