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Finding the Fourth Proportional to 764.06, 1,145.40 and 399.10

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Solution

The fourth proportional to 764.06, 1,145.40 and 399.10 is: 598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.06 : 1,145.40 = 399.10 : x
  2. Step 2: Convert to fraction form
    764.06/1,145.40 = 399.10/x
  3. Step 3: Cross multiply
    764.06x = 1,145.40 × 399.10
  4. Step 4: Simplify right side
    764.06x = 457,129.14
  5. Step 5: Solve for x
    x = 457,129.14/764.06
  6. Step 6: Final answer
    x = 598.29

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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.