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Finding the Fourth Proportional to 777.50, 1,166.26 and 264.50

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Solution

The fourth proportional to 777.50, 1,166.26 and 264.50 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.50 : 1,166.26 = 264.50 : x
  2. Step 2: Convert to fraction form
    777.50/1,166.26 = 264.50/x
  3. Step 3: Cross multiply
    777.50x = 1,166.26 × 264.50
  4. Step 4: Simplify right side
    777.50x = 308,475.77
  5. Step 5: Solve for x
    x = 308,475.77/777.50
  6. Step 6: Final answer
    x = 396.75

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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.