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Finding the Fourth Proportional to 510.54, 704.51 and 289.49

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Solution

The fourth proportional to 510.54, 704.51 and 289.49 is: 399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.54 : 704.51 = 289.49 : x
  2. Step 2: Convert to fraction form
    510.54/704.51 = 289.49/x
  3. Step 3: Cross multiply
    510.54x = 704.51 × 289.49
  4. Step 4: Simplify right side
    510.54x = 203,943.63
  5. Step 5: Solve for x
    x = 203,943.63/510.54
  6. Step 6: Final answer
    x = 399.47

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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.