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Finding the Fourth Proportional to 796.99, 1,187.66 and 770.89

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Solution

The fourth proportional to 796.99, 1,187.66 and 770.89 is: 1,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.99 : 1,187.66 = 770.89 : x
  2. Step 2: Convert to fraction form
    796.99/1,187.66 = 770.89/x
  3. Step 3: Cross multiply
    796.99x = 1,187.66 × 770.89
  4. Step 4: Simplify right side
    796.99x = 915,555.22
  5. Step 5: Solve for x
    x = 915,555.22/796.99
  6. Step 6: Final answer
    x = 1,148.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.