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Finding the Fourth Proportional to 510.51, 764.04 and 439.23

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Solution

The fourth proportional to 510.51, 764.04 and 439.23 is: 657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.51 : 764.04 = 439.23 : x
  2. Step 2: Convert to fraction form
    510.51/764.04 = 439.23/x
  3. Step 3: Cross multiply
    510.51x = 764.04 × 439.23
  4. Step 4: Simplify right side
    510.51x = 335,589.29
  5. Step 5: Solve for x
    x = 335,589.29/510.51
  6. Step 6: Final answer
    x = 657.36

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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.