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Finding the Fourth Proportional to 510.50, 704.65 and 303.46

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Solution

The fourth proportional to 510.50, 704.65 and 303.46 is: 418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 704.65 = 303.46 : x
  2. Step 2: Convert to fraction form
    510.50/704.65 = 303.46/x
  3. Step 3: Cross multiply
    510.50x = 704.65 × 303.46
  4. Step 4: Simplify right side
    510.50x = 213,833.09
  5. Step 5: Solve for x
    x = 213,833.09/510.50
  6. Step 6: Final answer
    x = 418.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.