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Finding the Fourth Proportional to 785.56, 1,176.80 and 538.73

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Solution

The fourth proportional to 785.56, 1,176.80 and 538.73 is: 807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.56 : 1,176.80 = 538.73 : x
  2. Step 2: Convert to fraction form
    785.56/1,176.80 = 538.73/x
  3. Step 3: Cross multiply
    785.56x = 1,176.80 × 538.73
  4. Step 4: Simplify right side
    785.56x = 633,977.46
  5. Step 5: Solve for x
    x = 633,977.46/785.56
  6. Step 6: Final answer
    x = 807.04

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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.