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Finding the Fourth Proportional to 515.75, 777.17 and 426.45

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Solution

The fourth proportional to 515.75, 777.17 and 426.45 is: 642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.75 : 777.17 = 426.45 : x
  2. Step 2: Convert to fraction form
    515.75/777.17 = 426.45/x
  3. Step 3: Cross multiply
    515.75x = 777.17 × 426.45
  4. Step 4: Simplify right side
    515.75x = 331,422.01
  5. Step 5: Solve for x
    x = 331,422.01/515.75
  6. Step 6: Final answer
    x = 642.61

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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.