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Finding the Fourth Proportional to 1,257.94, 1,883.38 and 948.82

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Solution

The fourth proportional to 1,257.94, 1,883.38 and 948.82 is: 1,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.94 : 1,883.38 = 948.82 : x
  2. Step 2: Convert to fraction form
    1,257.94/1,883.38 = 948.82/x
  3. Step 3: Cross multiply
    1,257.94x = 1,883.38 × 948.82
  4. Step 4: Simplify right side
    1,257.94x = 1,786,988.61
  5. Step 5: Solve for x
    x = 1,786,988.61/1,257.94
  6. Step 6: Final answer
    x = 1,420.57

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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.