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Finding the Fourth Proportional to 1,638.45, 2,457.79 and 542.84

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Solution

The fourth proportional to 1,638.45, 2,457.79 and 542.84 is: 814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.45 : 2,457.79 = 542.84 : x
  2. Step 2: Convert to fraction form
    1,638.45/2,457.79 = 542.84/x
  3. Step 3: Cross multiply
    1,638.45x = 2,457.79 × 542.84
  4. Step 4: Simplify right side
    1,638.45x = 1,334,173.08
  5. Step 5: Solve for x
    x = 1,334,173.08/1,638.45
  6. Step 6: Final answer
    x = 814.29

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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.