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Finding the Fourth Proportional to 1,091.49, 1,636.62 and 542.99

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Solution

The fourth proportional to 1,091.49, 1,636.62 and 542.99 is: 814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.49 : 1,636.62 = 542.99 : x
  2. Step 2: Convert to fraction form
    1,091.49/1,636.62 = 542.99/x
  3. Step 3: Cross multiply
    1,091.49x = 1,636.62 × 542.99
  4. Step 4: Simplify right side
    1,091.49x = 888,660.11
  5. Step 5: Solve for x
    x = 888,660.11/1,091.49
  6. Step 6: Final answer
    x = 814.17

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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.