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Finding the Fourth Proportional to 764.77, 1,146.81 and 399.47

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Solution

The fourth proportional to 764.77, 1,146.81 and 399.47 is: 599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.77 : 1,146.81 = 399.47 : x
  2. Step 2: Convert to fraction form
    764.77/1,146.81 = 399.47/x
  3. Step 3: Cross multiply
    764.77x = 1,146.81 × 399.47
  4. Step 4: Simplify right side
    764.77x = 458,114.55
  5. Step 5: Solve for x
    x = 458,114.55/764.77
  6. Step 6: Final answer
    x = 599.03

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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.