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Finding the Fourth Proportional to 515.28, 776.41 and 425.98

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Solution

The fourth proportional to 515.28, 776.41 and 425.98 is: 641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.28 : 776.41 = 425.98 : x
  2. Step 2: Convert to fraction form
    515.28/776.41 = 425.98/x
  3. Step 3: Cross multiply
    515.28x = 776.41 × 425.98
  4. Step 4: Simplify right side
    515.28x = 330,735.13
  5. Step 5: Solve for x
    x = 330,735.13/515.28
  6. Step 6: Final answer
    x = 641.86

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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.