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Finding the Fourth Proportional to 510.53, 704.46 and 289.47

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Solution

The fourth proportional to 510.53, 704.46 and 289.47 is: 399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.53 : 704.46 = 289.47 : x
  2. Step 2: Convert to fraction form
    510.53/704.46 = 289.47/x
  3. Step 3: Cross multiply
    510.53x = 704.46 × 289.47
  4. Step 4: Simplify right side
    510.53x = 203,920.04
  5. Step 5: Solve for x
    x = 203,920.04/510.53
  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.