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Finding the Fourth Proportional to 794.47, 1,189.65 and 548.43

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Solution

The fourth proportional to 794.47, 1,189.65 and 548.43 is: 821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.47 : 1,189.65 = 548.43 : x
  2. Step 2: Convert to fraction form
    794.47/1,189.65 = 548.43/x
  3. Step 3: Cross multiply
    794.47x = 1,189.65 × 548.43
  4. Step 4: Simplify right side
    794.47x = 652,437.01
  5. Step 5: Solve for x
    x = 652,437.01/794.47
  6. Step 6: Final answer
    x = 821.23

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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.