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Finding the Fourth Proportional to 506.94, 763.67 and 379.50

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Solution

The fourth proportional to 506.94, 763.67 and 379.50 is: 571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.94 : 763.67 = 379.50 : x
  2. Step 2: Convert to fraction form
    506.94/763.67 = 379.50/x
  3. Step 3: Cross multiply
    506.94x = 763.67 × 379.50
  4. Step 4: Simplify right side
    506.94x = 289,810.87
  5. Step 5: Solve for x
    x = 289,810.87/506.94
  6. Step 6: Final answer
    x = 571.69

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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.