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Finding the Fourth Proportional to 764.49, 1,146.69 and 399.51

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Solution

The fourth proportional to 764.49, 1,146.69 and 399.51 is: 599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.49 : 1,146.69 = 399.51 : x
  2. Step 2: Convert to fraction form
    764.49/1,146.69 = 399.51/x
  3. Step 3: Cross multiply
    764.49x = 1,146.69 × 399.51
  4. Step 4: Simplify right side
    764.49x = 458,114.12
  5. Step 5: Solve for x
    x = 458,114.12/764.49
  6. Step 6: Final answer
    x = 599.24

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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.