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Finding the Fourth Proportional to 803.12, 1,112.97 and 788.54

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Solution

The fourth proportional to 803.12, 1,112.97 and 788.54 is: 1,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.12 : 1,112.97 = 788.54 : x
  2. Step 2: Convert to fraction form
    803.12/1,112.97 = 788.54/x
  3. Step 3: Cross multiply
    803.12x = 1,112.97 × 788.54
  4. Step 4: Simplify right side
    803.12x = 877,618.76
  5. Step 5: Solve for x
    x = 877,618.76/803.12
  6. Step 6: Final answer
    x = 1,092.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.