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Finding the Fourth Proportional to 764.83, 1,147.56 and 399.88

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Solution

The fourth proportional to 764.83, 1,147.56 and 399.88 is: 599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.83 : 1,147.56 = 399.88 : x
  2. Step 2: Convert to fraction form
    764.83/1,147.56 = 399.88/x
  3. Step 3: Cross multiply
    764.83x = 1,147.56 × 399.88
  4. Step 4: Simplify right side
    764.83x = 458,886.29
  5. Step 5: Solve for x
    x = 458,886.29/764.83
  6. Step 6: Final answer
    x = 599.98

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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.