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Finding the Fourth Proportional to 784.28, 1,174.55 and 393.78

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Solution

The fourth proportional to 784.28, 1,174.55 and 393.78 is: 589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.28 : 1,174.55 = 393.78 : x
  2. Step 2: Convert to fraction form
    784.28/1,174.55 = 393.78/x
  3. Step 3: Cross multiply
    784.28x = 1,174.55 × 393.78
  4. Step 4: Simplify right side
    784.28x = 462,516.73
  5. Step 5: Solve for x
    x = 462,516.73/784.28
  6. Step 6: Final answer
    x = 589.73

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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.