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Finding the Fourth Proportional to 1,779.81, 2,669.41 and 683.61

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Solution

The fourth proportional to 1,779.81, 2,669.41 and 683.61 is: 1,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.81 : 2,669.41 = 683.61 : x
  2. Step 2: Convert to fraction form
    1,779.81/2,669.41 = 683.61/x
  3. Step 3: Cross multiply
    1,779.81x = 2,669.41 × 683.61
  4. Step 4: Simplify right side
    1,779.81x = 1,824,831.95
  5. Step 5: Solve for x
    x = 1,824,831.95/1,779.81
  6. Step 6: Final answer
    x = 1,025.30

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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.