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Finding the Fourth Proportional to 1,270.64, 1,905.12 and 693.92

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Solution

The fourth proportional to 1,270.64, 1,905.12 and 693.92 is: 1,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.64 : 1,905.12 = 693.92 : x
  2. Step 2: Convert to fraction form
    1,270.64/1,905.12 = 693.92/x
  3. Step 3: Cross multiply
    1,270.64x = 1,905.12 × 693.92
  4. Step 4: Simplify right side
    1,270.64x = 1,322,000.87
  5. Step 5: Solve for x
    x = 1,322,000.87/1,270.64
  6. Step 6: Final answer
    x = 1,040.42

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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.