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Finding the Fourth Proportional to 779.69, 1,162.34 and 740.73

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Solution

The fourth proportional to 779.69, 1,162.34 and 740.73 is: 1,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.69 : 1,162.34 = 740.73 : x
  2. Step 2: Convert to fraction form
    779.69/1,162.34 = 740.73/x
  3. Step 3: Cross multiply
    779.69x = 1,162.34 × 740.73
  4. Step 4: Simplify right side
    779.69x = 860,980.11
  5. Step 5: Solve for x
    x = 860,980.11/779.69
  6. Step 6: Final answer
    x = 1,104.27

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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.