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Finding the Fourth Proportional to 510.23, 704.09 and 335.45

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Solution

The fourth proportional to 510.23, 704.09 and 335.45 is: 462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.23 : 704.09 = 335.45 : x
  2. Step 2: Convert to fraction form
    510.23/704.09 = 335.45/x
  3. Step 3: Cross multiply
    510.23x = 704.09 × 335.45
  4. Step 4: Simplify right side
    510.23x = 236,184.31
  5. Step 5: Solve for x
    x = 236,184.31/510.23
  6. Step 6: Final answer
    x = 462.90

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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.