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Finding the Fourth Proportional to 777.54, 1,166.10 and 366.27

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Solution

The fourth proportional to 777.54, 1,166.10 and 366.27 is: 549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.54 : 1,166.10 = 366.27 : x
  2. Step 2: Convert to fraction form
    777.54/1,166.10 = 366.27/x
  3. Step 3: Cross multiply
    777.54x = 1,166.10 × 366.27
  4. Step 4: Simplify right side
    777.54x = 427,107.45
  5. Step 5: Solve for x
    x = 427,107.45/777.54
  6. Step 6: Final answer
    x = 549.31

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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.