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Finding the Fourth Proportional to 788.77, 1,087.92 and 578.88

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Solution

The fourth proportional to 788.77, 1,087.92 and 578.88 is: 798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.77 : 1,087.92 = 578.88 : x
  2. Step 2: Convert to fraction form
    788.77/1,087.92 = 578.88/x
  3. Step 3: Cross multiply
    788.77x = 1,087.92 × 578.88
  4. Step 4: Simplify right side
    788.77x = 629,769.69
  5. Step 5: Solve for x
    x = 629,769.69/788.77
  6. Step 6: Final answer
    x = 798.42

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1.5x scale

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.