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Finding the Fourth Proportional to 1,638.08, 2,457.72 and 761.00

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Solution

The fourth proportional to 1,638.08, 2,457.72 and 761.00 is: 1,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.08 : 2,457.72 = 761.00 : x
  2. Step 2: Convert to fraction form
    1,638.08/2,457.72 = 761.00/x
  3. Step 3: Cross multiply
    1,638.08x = 2,457.72 × 761.00
  4. Step 4: Simplify right side
    1,638.08x = 1,870,331.06
  5. Step 5: Solve for x
    x = 1,870,331.06/1,638.08
  6. Step 6: Final answer
    x = 1,141.79

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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.