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Finding the Fourth Proportional to 510.94, 763.28 and 408.42

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Solution

The fourth proportional to 510.94, 763.28 and 408.42 is: 610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.94 : 763.28 = 408.42 : x
  2. Step 2: Convert to fraction form
    510.94/763.28 = 408.42/x
  3. Step 3: Cross multiply
    510.94x = 763.28 × 408.42
  4. Step 4: Simplify right side
    510.94x = 311,738.82
  5. Step 5: Solve for x
    x = 311,738.82/510.94
  6. Step 6: Final answer
    x = 610.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.