Home / 1,638.49-2,457.78-405.85

Finding the Fourth Proportional to 1,638.49, 2,457.78 and 405.85

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Solution

The fourth proportional to 1,638.49, 2,457.78 and 405.85 is: 608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.49 : 2,457.78 = 405.85 : x
  2. Step 2: Convert to fraction form
    1,638.49/2,457.78 = 405.85/x
  3. Step 3: Cross multiply
    1,638.49x = 2,457.78 × 405.85
  4. Step 4: Simplify right side
    1,638.49x = 997,490.01
  5. Step 5: Solve for x
    x = 997,490.01/1,638.49
  6. Step 6: Final answer
    x = 608.79

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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.