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Finding the Fourth Proportional to 1,274.68, 1,911.48 and 697.96

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Solution

The fourth proportional to 1,274.68, 1,911.48 and 697.96 is: 1,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.68 : 1,911.48 = 697.96 : x
  2. Step 2: Convert to fraction form
    1,274.68/1,911.48 = 697.96/x
  3. Step 3: Cross multiply
    1,274.68x = 1,911.48 × 697.96
  4. Step 4: Simplify right side
    1,274.68x = 1,334,136.58
  5. Step 5: Solve for x
    x = 1,334,136.58/1,274.68
  6. Step 6: Final answer
    x = 1,046.64

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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.