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Finding the Fourth Proportional to 1,904.54, 2,856.81 and 517.88

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Solution

The fourth proportional to 1,904.54, 2,856.81 and 517.88 is: 776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.54 : 2,856.81 = 517.88 : x
  2. Step 2: Convert to fraction form
    1,904.54/2,856.81 = 517.88/x
  3. Step 3: Cross multiply
    1,904.54x = 2,856.81 × 517.88
  4. Step 4: Simplify right side
    1,904.54x = 1,479,467.89
  5. Step 5: Solve for x
    x = 1,479,467.89/1,904.54
  6. Step 6: Final answer
    x = 776.81

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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.