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Finding the Fourth Proportional to 857.00, 1,181.48 and 542.11

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Solution

The fourth proportional to 857.00, 1,181.48 and 542.11 is: 747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.00 : 1,181.48 = 542.11 : x
  2. Step 2: Convert to fraction form
    857.00/1,181.48 = 542.11/x
  3. Step 3: Cross multiply
    857.00x = 1,181.48 × 542.11
  4. Step 4: Simplify right side
    857.00x = 640,490.52
  5. Step 5: Solve for x
    x = 640,490.52/857.00
  6. Step 6: Final answer
    x = 747.36

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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.