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Finding the Fourth Proportional to 1,257.40, 1,884.02 and 768.98

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Solution

The fourth proportional to 1,257.40, 1,884.02 and 768.98 is: 1,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.40 : 1,884.02 = 768.98 : x
  2. Step 2: Convert to fraction form
    1,257.40/1,884.02 = 768.98/x
  3. Step 3: Cross multiply
    1,257.40x = 1,884.02 × 768.98
  4. Step 4: Simplify right side
    1,257.40x = 1,448,773.70
  5. Step 5: Solve for x
    x = 1,448,773.70/1,257.40
  6. Step 6: Final answer
    x = 1,152.20

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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.