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Finding the Fourth Proportional to 777.74, 1,167.18 and 412.60

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Solution

The fourth proportional to 777.74, 1,167.18 and 412.60 is: 619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.74 : 1,167.18 = 412.60 : x
  2. Step 2: Convert to fraction form
    777.74/1,167.18 = 412.60/x
  3. Step 3: Cross multiply
    777.74x = 1,167.18 × 412.60
  4. Step 4: Simplify right side
    777.74x = 481,578.47
  5. Step 5: Solve for x
    x = 481,578.47/777.74
  6. Step 6: Final answer
    x = 619.20

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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.