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Finding the Fourth Proportional to 788.70, 1,087.59 and 770.82

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Solution

The fourth proportional to 788.70, 1,087.59 and 770.82 is: 1,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.70 : 1,087.59 = 770.82 : x
  2. Step 2: Convert to fraction form
    788.70/1,087.59 = 770.82/x
  3. Step 3: Cross multiply
    788.70x = 1,087.59 × 770.82
  4. Step 4: Simplify right side
    788.70x = 838,336.12
  5. Step 5: Solve for x
    x = 838,336.12/788.70
  6. Step 6: Final answer
    x = 1,062.93

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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.