Home / 1,090.24-1,636.57-542.27

Finding the Fourth Proportional to 1,090.24, 1,636.57 and 542.27

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Solution

The fourth proportional to 1,090.24, 1,636.57 and 542.27 is: 814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.24 : 1,636.57 = 542.27 : x
  2. Step 2: Convert to fraction form
    1,090.24/1,636.57 = 542.27/x
  3. Step 3: Cross multiply
    1,090.24x = 1,636.57 × 542.27
  4. Step 4: Simplify right side
    1,090.24x = 887,467.58
  5. Step 5: Solve for x
    x = 887,467.58/1,090.24
  6. Step 6: Final answer
    x = 814.01

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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.