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Finding the Fourth Proportional to 1,377.23, 2,064.47 and 682.83

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Solution

The fourth proportional to 1,377.23, 2,064.47 and 682.83 is: 1,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.23 : 2,064.47 = 682.83 : x
  2. Step 2: Convert to fraction form
    1,377.23/2,064.47 = 682.83/x
  3. Step 3: Cross multiply
    1,377.23x = 2,064.47 × 682.83
  4. Step 4: Simplify right side
    1,377.23x = 1,409,678.64
  5. Step 5: Solve for x
    x = 1,409,678.64/1,377.23
  6. Step 6: Final answer
    x = 1,023.56

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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.