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Finding the Fourth Proportional to 1,854.91, 2,782.75 and 622.33

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Solution

The fourth proportional to 1,854.91, 2,782.75 and 622.33 is: 933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.91 : 2,782.75 = 622.33 : x
  2. Step 2: Convert to fraction form
    1,854.91/2,782.75 = 622.33/x
  3. Step 3: Cross multiply
    1,854.91x = 2,782.75 × 622.33
  4. Step 4: Simplify right side
    1,854.91x = 1,731,788.81
  5. Step 5: Solve for x
    x = 1,731,788.81/1,854.91
  6. Step 6: Final answer
    x = 933.62

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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.