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Finding the Fourth Proportional to 1,645.31, 2,467.91 and 549.38

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Solution

The fourth proportional to 1,645.31, 2,467.91 and 549.38 is: 824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.31 : 2,467.91 = 549.38 : x
  2. Step 2: Convert to fraction form
    1,645.31/2,467.91 = 549.38/x
  3. Step 3: Cross multiply
    1,645.31x = 2,467.91 × 549.38
  4. Step 4: Simplify right side
    1,645.31x = 1,355,809.43
  5. Step 5: Solve for x
    x = 1,355,809.43/1,645.31
  6. Step 6: Final answer
    x = 824.05

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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.