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Finding the Fourth Proportional to 510.36, 764.12 and 407.80

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Solution

The fourth proportional to 510.36, 764.12 and 407.80 is: 610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.36 : 764.12 = 407.80 : x
  2. Step 2: Convert to fraction form
    510.36/764.12 = 407.80/x
  3. Step 3: Cross multiply
    510.36x = 764.12 × 407.80
  4. Step 4: Simplify right side
    510.36x = 311,608.14
  5. Step 5: Solve for x
    x = 311,608.14/510.36
  6. Step 6: Final answer
    x = 610.57

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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.