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Finding the Fourth Proportional to 780.47, 1,171.62 and 548.41

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Solution

The fourth proportional to 780.47, 1,171.62 and 548.41 is: 823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.47 : 1,171.62 = 548.41 : x
  2. Step 2: Convert to fraction form
    780.47/1,171.62 = 548.41/x
  3. Step 3: Cross multiply
    780.47x = 1,171.62 × 548.41
  4. Step 4: Simplify right side
    780.47x = 642,525.20
  5. Step 5: Solve for x
    x = 642,525.20/780.47
  6. Step 6: Final answer
    x = 823.25

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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.