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Finding the Fourth Proportional to 1,638.21, 2,457.86 and 527.80

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Solution

The fourth proportional to 1,638.21, 2,457.86 and 527.80 is: 791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.21 : 2,457.86 = 527.80 : x
  2. Step 2: Convert to fraction form
    1,638.21/2,457.86 = 527.80/x
  3. Step 3: Cross multiply
    1,638.21x = 2,457.86 × 527.80
  4. Step 4: Simplify right side
    1,638.21x = 1,297,258.51
  5. Step 5: Solve for x
    x = 1,297,258.51/1,638.21
  6. Step 6: Final answer
    x = 791.88

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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.