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Finding the Fourth Proportional to 1,368.94, 1,889.14 and 739.47

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Solution

The fourth proportional to 1,368.94, 1,889.14 and 739.47 is: 1,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.94 : 1,889.14 = 739.47 : x
  2. Step 2: Convert to fraction form
    1,368.94/1,889.14 = 739.47/x
  3. Step 3: Cross multiply
    1,368.94x = 1,889.14 × 739.47
  4. Step 4: Simplify right side
    1,368.94x = 1,396,955.78
  5. Step 5: Solve for x
    x = 1,396,955.78/1,368.94
  6. Step 6: Final answer
    x = 1,020.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.