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Finding the Fourth Proportional to 510.50, 769.91 and 470.41

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Solution

The fourth proportional to 510.50, 769.91 and 470.41 is: 709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 769.91 = 470.41 : x
  2. Step 2: Convert to fraction form
    510.50/769.91 = 470.41/x
  3. Step 3: Cross multiply
    510.50x = 769.91 × 470.41
  4. Step 4: Simplify right side
    510.50x = 362,169.09
  5. Step 5: Solve for x
    x = 362,169.09/510.50
  6. Step 6: Final answer
    x = 709.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.