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Finding the Fourth Proportional to 784.29, 1,176.45 and 455.73

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Solution

The fourth proportional to 784.29, 1,176.45 and 455.73 is: 683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.29 : 1,176.45 = 455.73 : x
  2. Step 2: Convert to fraction form
    784.29/1,176.45 = 455.73/x
  3. Step 3: Cross multiply
    784.29x = 1,176.45 × 455.73
  4. Step 4: Simplify right side
    784.29x = 536,143.56
  5. Step 5: Solve for x
    x = 536,143.56/784.29
  6. Step 6: Final answer
    x = 683.60

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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.