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Finding the Fourth Proportional to 777.92, 1,166.37 and 412.88

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Solution

The fourth proportional to 777.92, 1,166.37 and 412.88 is: 619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.92 : 1,166.37 = 412.88 : x
  2. Step 2: Convert to fraction form
    777.92/1,166.37 = 412.88/x
  3. Step 3: Cross multiply
    777.92x = 1,166.37 × 412.88
  4. Step 4: Simplify right side
    777.92x = 481,568.78
  5. Step 5: Solve for x
    x = 481,568.78/777.92
  6. Step 6: Final answer
    x = 619.05

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1.5x scale

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.