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Finding the Fourth Proportional to 510.72, 704.54 and 344.98

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Solution

The fourth proportional to 510.72, 704.54 and 344.98 is: 475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.72 : 704.54 = 344.98 : x
  2. Step 2: Convert to fraction form
    510.72/704.54 = 344.98/x
  3. Step 3: Cross multiply
    510.72x = 704.54 × 344.98
  4. Step 4: Simplify right side
    510.72x = 243,052.21
  5. Step 5: Solve for x
    x = 243,052.21/510.72
  6. Step 6: Final answer
    x = 475.90

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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.