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Finding the Fourth Proportional to 779.23, 1,166.51 and 751.54

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Solution

The fourth proportional to 779.23, 1,166.51 and 751.54 is: 1,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.23 : 1,166.51 = 751.54 : x
  2. Step 2: Convert to fraction form
    779.23/1,166.51 = 751.54/x
  3. Step 3: Cross multiply
    779.23x = 1,166.51 × 751.54
  4. Step 4: Simplify right side
    779.23x = 876,677.89
  5. Step 5: Solve for x
    x = 876,677.89/779.23
  6. Step 6: Final answer
    x = 1,125.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.