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Finding the Fourth Proportional to 1,649.19, 2,474.13 and 609.19

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Solution

The fourth proportional to 1,649.19, 2,474.13 and 609.19 is: 913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.19 : 2,474.13 = 609.19 : x
  2. Step 2: Convert to fraction form
    1,649.19/2,474.13 = 609.19/x
  3. Step 3: Cross multiply
    1,649.19x = 2,474.13 × 609.19
  4. Step 4: Simplify right side
    1,649.19x = 1,507,215.25
  5. Step 5: Solve for x
    x = 1,507,215.25/1,649.19
  6. Step 6: Final answer
    x = 913.91

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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.