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Finding the Fourth Proportional to 1,589.21, 2,383.97 and 549.07

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Solution

The fourth proportional to 1,589.21, 2,383.97 and 549.07 is: 823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.21 : 2,383.97 = 549.07 : x
  2. Step 2: Convert to fraction form
    1,589.21/2,383.97 = 549.07/x
  3. Step 3: Cross multiply
    1,589.21x = 2,383.97 × 549.07
  4. Step 4: Simplify right side
    1,589.21x = 1,308,957.70
  5. Step 5: Solve for x
    x = 1,308,957.70/1,589.21
  6. Step 6: Final answer
    x = 823.66

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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.