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Finding the Fourth Proportional to 1,638.96, 2,457.48 and 774

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Solution

The fourth proportional to 1,638.96, 2,457.48 and 774 is: 1,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.96 : 2,457.48 = 774 : x
  2. Step 2: Convert to fraction form
    1,638.96/2,457.48 = 774/x
  3. Step 3: Cross multiply
    1,638.96x = 2,457.48 × 774
  4. Step 4: Simplify right side
    1,638.96x = 1,902,089.52
  5. Step 5: Solve for x
    x = 1,902,089.52/1,638.96
  6. Step 6: Final answer
    x = 1,160.55

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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.