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Finding the Fourth Proportional to 1,638.13, 2,457.59 and 483.88

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Solution

The fourth proportional to 1,638.13, 2,457.59 and 483.88 is: 725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.13 : 2,457.59 = 483.88 : x
  2. Step 2: Convert to fraction form
    1,638.13/2,457.59 = 483.88/x
  3. Step 3: Cross multiply
    1,638.13x = 2,457.59 × 483.88
  4. Step 4: Simplify right side
    1,638.13x = 1,189,178.65
  5. Step 5: Solve for x
    x = 1,189,178.65/1,638.13
  6. Step 6: Final answer
    x = 725.94

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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.