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Finding the Fourth Proportional to 1,856.28, 2,784.46 and 730.76

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Solution

The fourth proportional to 1,856.28, 2,784.46 and 730.76 is: 1,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.28 : 2,784.46 = 730.76 : x
  2. Step 2: Convert to fraction form
    1,856.28/2,784.46 = 730.76/x
  3. Step 3: Cross multiply
    1,856.28x = 2,784.46 × 730.76
  4. Step 4: Simplify right side
    1,856.28x = 2,034,771.99
  5. Step 5: Solve for x
    x = 2,034,771.99/1,856.28
  6. Step 6: Final answer
    x = 1,096.16

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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.