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Finding the Fourth Proportional to 780.97, 1,172.37 and 548.91

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Solution

The fourth proportional to 780.97, 1,172.37 and 548.91 is: 824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.97 : 1,172.37 = 548.91 : x
  2. Step 2: Convert to fraction form
    780.97/1,172.37 = 548.91/x
  3. Step 3: Cross multiply
    780.97x = 1,172.37 × 548.91
  4. Step 4: Simplify right side
    780.97x = 643,525.62
  5. Step 5: Solve for x
    x = 643,525.62/780.97
  6. Step 6: Final answer
    x = 824.01

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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.