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Finding the Fourth Proportional to 780.41, 1,173.24 and 550.95

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Solution

The fourth proportional to 780.41, 1,173.24 and 550.95 is: 828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.41 : 1,173.24 = 550.95 : x
  2. Step 2: Convert to fraction form
    780.41/1,173.24 = 550.95/x
  3. Step 3: Cross multiply
    780.41x = 1,173.24 × 550.95
  4. Step 4: Simplify right side
    780.41x = 646,390.71
  5. Step 5: Solve for x
    x = 646,390.71/780.41
  6. Step 6: Final answer
    x = 828.27

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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.