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Finding the Fourth Proportional to 1,283.46, 1,927.92 and 920.58

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Solution

The fourth proportional to 1,283.46, 1,927.92 and 920.58 is: 1,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.46 : 1,927.92 = 920.58 : x
  2. Step 2: Convert to fraction form
    1,283.46/1,927.92 = 920.58/x
  3. Step 3: Cross multiply
    1,283.46x = 1,927.92 × 920.58
  4. Step 4: Simplify right side
    1,283.46x = 1,774,804.59
  5. Step 5: Solve for x
    x = 1,774,804.59/1,283.46
  6. Step 6: Final answer
    x = 1,382.83

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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.