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Finding the Fourth Proportional to 1,789.46, 2,683.35 and 693.86

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Solution

The fourth proportional to 1,789.46, 2,683.35 and 693.86 is: 1,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.46 : 2,683.35 = 693.86 : x
  2. Step 2: Convert to fraction form
    1,789.46/2,683.35 = 693.86/x
  3. Step 3: Cross multiply
    1,789.46x = 2,683.35 × 693.86
  4. Step 4: Simplify right side
    1,789.46x = 1,861,869.23
  5. Step 5: Solve for x
    x = 1,861,869.23/1,789.46
  6. Step 6: Final answer
    x = 1,040.46

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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.