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Finding the Fourth Proportional to 845.89, 1,166.74 and 776.18

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Solution

The fourth proportional to 845.89, 1,166.74 and 776.18 is: 1,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.89 : 1,166.74 = 776.18 : x
  2. Step 2: Convert to fraction form
    845.89/1,166.74 = 776.18/x
  3. Step 3: Cross multiply
    845.89x = 1,166.74 × 776.18
  4. Step 4: Simplify right side
    845.89x = 905,605.60
  5. Step 5: Solve for x
    x = 905,605.60/845.89
  6. Step 6: Final answer
    x = 1,070.59

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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.