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Finding the Fourth Proportional to 1,589.41, 2,384.26 and 549.27

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Solution

The fourth proportional to 1,589.41, 2,384.26 and 549.27 is: 823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.41 : 2,384.26 = 549.27 : x
  2. Step 2: Convert to fraction form
    1,589.41/2,384.26 = 549.27/x
  3. Step 3: Cross multiply
    1,589.41x = 2,384.26 × 549.27
  4. Step 4: Simplify right side
    1,589.41x = 1,309,602.49
  5. Step 5: Solve for x
    x = 1,309,602.49/1,589.41
  6. Step 6: Final answer
    x = 823.96

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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.