Home / 1,583.21-2,374.94-542.79

Finding the Fourth Proportional to 1,583.21, 2,374.94 and 542.79

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Solution

The fourth proportional to 1,583.21, 2,374.94 and 542.79 is: 814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.21 : 2,374.94 = 542.79 : x
  2. Step 2: Convert to fraction form
    1,583.21/2,374.94 = 542.79/x
  3. Step 3: Cross multiply
    1,583.21x = 2,374.94 × 542.79
  4. Step 4: Simplify right side
    1,583.21x = 1,289,090.97
  5. Step 5: Solve for x
    x = 1,289,090.97/1,583.21
  6. Step 6: Final answer
    x = 814.23

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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.