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Finding the Fourth Proportional to 510.59, 704.49 and 289.50

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Solution

The fourth proportional to 510.59, 704.49 and 289.50 is: 399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.59 : 704.49 = 289.50 : x
  2. Step 2: Convert to fraction form
    510.59/704.49 = 289.50/x
  3. Step 3: Cross multiply
    510.59x = 704.49 × 289.50
  4. Step 4: Simplify right side
    510.59x = 203,949.86
  5. Step 5: Solve for x
    x = 203,949.86/510.59
  6. Step 6: Final answer
    x = 399.44

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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.