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Finding the Fourth Proportional to 788.58, 1,085.85 and 622.26

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Solution

The fourth proportional to 788.58, 1,085.85 and 622.26 is: 856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.58 : 1,085.85 = 622.26 : x
  2. Step 2: Convert to fraction form
    788.58/1,085.85 = 622.26/x
  3. Step 3: Cross multiply
    788.58x = 1,085.85 × 622.26
  4. Step 4: Simplify right side
    788.58x = 675,681.02
  5. Step 5: Solve for x
    x = 675,681.02/788.58
  6. Step 6: Final answer
    x = 856.83

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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.