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Finding the Fourth Proportional to 1,789.93, 2,683.44 and 750.70

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Solution

The fourth proportional to 1,789.93, 2,683.44 and 750.70 is: 1,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.93 : 2,683.44 = 750.70 : x
  2. Step 2: Convert to fraction form
    1,789.93/2,683.44 = 750.70/x
  3. Step 3: Cross multiply
    1,789.93x = 2,683.44 × 750.70
  4. Step 4: Simplify right side
    1,789.93x = 2,014,458.41
  5. Step 5: Solve for x
    x = 2,014,458.41/1,789.93
  6. Step 6: Final answer
    x = 1,125.44

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1.5x scale

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.