Home / 1,549.21-2,324.16-509.17

Finding the Fourth Proportional to 1,549.21, 2,324.16 and 509.17

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Solution

The fourth proportional to 1,549.21, 2,324.16 and 509.17 is: 763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.21 : 2,324.16 = 509.17 : x
  2. Step 2: Convert to fraction form
    1,549.21/2,324.16 = 509.17/x
  3. Step 3: Cross multiply
    1,549.21x = 2,324.16 × 509.17
  4. Step 4: Simplify right side
    1,549.21x = 1,183,392.55
  5. Step 5: Solve for x
    x = 1,183,392.55/1,549.21
  6. Step 6: Final answer
    x = 763.87

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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.