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Finding the Fourth Proportional to 1,284.32, 1,928.92 and 800.76

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Solution

The fourth proportional to 1,284.32, 1,928.92 and 800.76 is: 1,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.32 : 1,928.92 = 800.76 : x
  2. Step 2: Convert to fraction form
    1,284.32/1,928.92 = 800.76/x
  3. Step 3: Cross multiply
    1,284.32x = 1,928.92 × 800.76
  4. Step 4: Simplify right side
    1,284.32x = 1,544,601.98
  5. Step 5: Solve for x
    x = 1,544,601.98/1,284.32
  6. Step 6: Final answer
    x = 1,202.66

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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.