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Finding the Fourth Proportional to 1,238.60, 1,853.60 and 976.40

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Solution

The fourth proportional to 1,238.60, 1,853.60 and 976.40 is: 1,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.60 : 1,853.60 = 976.40 : x
  2. Step 2: Convert to fraction form
    1,238.60/1,853.60 = 976.40/x
  3. Step 3: Cross multiply
    1,238.60x = 1,853.60 × 976.40
  4. Step 4: Simplify right side
    1,238.60x = 1,809,855.04
  5. Step 5: Solve for x
    x = 1,809,855.04/1,238.60
  6. Step 6: Final answer
    x = 1,461.21

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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.