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Finding the Fourth Proportional to 1,283.65, 1,932.99 and 920.97

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Solution

The fourth proportional to 1,283.65, 1,932.99 and 920.97 is: 1,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.65 : 1,932.99 = 920.97 : x
  2. Step 2: Convert to fraction form
    1,283.65/1,932.99 = 920.97/x
  3. Step 3: Cross multiply
    1,283.65x = 1,932.99 × 920.97
  4. Step 4: Simplify right side
    1,283.65x = 1,780,224.94
  5. Step 5: Solve for x
    x = 1,780,224.94/1,283.65
  6. Step 6: Final answer
    x = 1,386.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.