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Finding the Fourth Proportional to 1,284.27, 1,921.94 and 790.46

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Solution

The fourth proportional to 1,284.27, 1,921.94 and 790.46 is: 1,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.27 : 1,921.94 = 790.46 : x
  2. Step 2: Convert to fraction form
    1,284.27/1,921.94 = 790.46/x
  3. Step 3: Cross multiply
    1,284.27x = 1,921.94 × 790.46
  4. Step 4: Simplify right side
    1,284.27x = 1,519,213.30
  5. Step 5: Solve for x
    x = 1,519,213.30/1,284.27
  6. Step 6: Final answer
    x = 1,182.94

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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.