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Finding the Fourth Proportional to 1,282.34, 1,923.82 and 697.74

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Solution

The fourth proportional to 1,282.34, 1,923.82 and 697.74 is: 1,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.34 : 1,923.82 = 697.74 : x
  2. Step 2: Convert to fraction form
    1,282.34/1,923.82 = 697.74/x
  3. Step 3: Cross multiply
    1,282.34x = 1,923.82 × 697.74
  4. Step 4: Simplify right side
    1,282.34x = 1,342,326.17
  5. Step 5: Solve for x
    x = 1,342,326.17/1,282.34
  6. Step 6: Final answer
    x = 1,046.78

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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.