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Finding the Fourth Proportional to 857.09, 1,181.61 and 542.20

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Solution

The fourth proportional to 857.09, 1,181.61 and 542.20 is: 747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.09 : 1,181.61 = 542.20 : x
  2. Step 2: Convert to fraction form
    857.09/1,181.61 = 542.20/x
  3. Step 3: Cross multiply
    857.09x = 1,181.61 × 542.20
  4. Step 4: Simplify right side
    857.09x = 640,668.94
  5. Step 5: Solve for x
    x = 640,668.94/857.09
  6. Step 6: Final answer
    x = 747.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.