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Finding the Fourth Proportional to 788.80, 1,088.93 and 611.36

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Solution

The fourth proportional to 788.80, 1,088.93 and 611.36 is: 843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.80 : 1,088.93 = 611.36 : x
  2. Step 2: Convert to fraction form
    788.80/1,088.93 = 611.36/x
  3. Step 3: Cross multiply
    788.80x = 1,088.93 × 611.36
  4. Step 4: Simplify right side
    788.80x = 665,728.24
  5. Step 5: Solve for x
    x = 665,728.24/788.80
  6. Step 6: Final answer
    x = 843.98

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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.