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Finding the Fourth Proportional to 1,638.80, 2,457.56 and 542.87

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Solution

The fourth proportional to 1,638.80, 2,457.56 and 542.87 is: 814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.80 : 2,457.56 = 542.87 : x
  2. Step 2: Convert to fraction form
    1,638.80/2,457.56 = 542.87/x
  3. Step 3: Cross multiply
    1,638.80x = 2,457.56 × 542.87
  4. Step 4: Simplify right side
    1,638.80x = 1,334,135.60
  5. Step 5: Solve for x
    x = 1,334,135.60/1,638.80
  6. Step 6: Final answer
    x = 814.09

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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.