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Finding the Fourth Proportional to 1,777.34, 2,666 and 682.04

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Solution

The fourth proportional to 1,777.34, 2,666 and 682.04 is: 1,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.34 : 2,666 = 682.04 : x
  2. Step 2: Convert to fraction form
    1,777.34/2,666 = 682.04/x
  3. Step 3: Cross multiply
    1,777.34x = 2,666 × 682.04
  4. Step 4: Simplify right side
    1,777.34x = 1,818,318.64
  5. Step 5: Solve for x
    x = 1,818,318.64/1,777.34
  6. Step 6: Final answer
    x = 1,023.06

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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.