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Finding the Fourth Proportional to 788.65, 1,085.34 and 768.31

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Solution

The fourth proportional to 788.65, 1,085.34 and 768.31 is: 1,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.65 : 1,085.34 = 768.31 : x
  2. Step 2: Convert to fraction form
    788.65/1,085.34 = 768.31/x
  3. Step 3: Cross multiply
    788.65x = 1,085.34 × 768.31
  4. Step 4: Simplify right side
    788.65x = 833,877.58
  5. Step 5: Solve for x
    x = 833,877.58/788.65
  6. Step 6: Final answer
    x = 1,057.35

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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.