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Finding the Fourth Proportional to 510.54, 704.46 and 289.48

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Solution

The fourth proportional to 510.54, 704.46 and 289.48 is: 399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.54 : 704.46 = 289.48 : x
  2. Step 2: Convert to fraction form
    510.54/704.46 = 289.48/x
  3. Step 3: Cross multiply
    510.54x = 704.46 × 289.48
  4. Step 4: Simplify right side
    510.54x = 203,927.08
  5. Step 5: Solve for x
    x = 203,927.08/510.54
  6. Step 6: Final answer
    x = 399.43

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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.