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Finding the Fourth Proportional to 1,090.50, 1,636.28 and 542.73

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Solution

The fourth proportional to 1,090.50, 1,636.28 and 542.73 is: 814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.50 : 1,636.28 = 542.73 : x
  2. Step 2: Convert to fraction form
    1,090.50/1,636.28 = 542.73/x
  3. Step 3: Cross multiply
    1,090.50x = 1,636.28 × 542.73
  4. Step 4: Simplify right side
    1,090.50x = 888,055.53
  5. Step 5: Solve for x
    x = 888,055.53/1,090.50
  6. Step 6: Final answer
    x = 814.36

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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.