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Finding the Fourth Proportional to 634.59, 953.03 and 519.26

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Solution

The fourth proportional to 634.59, 953.03 and 519.26 is: 779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.59 : 953.03 = 519.26 : x
  2. Step 2: Convert to fraction form
    634.59/953.03 = 519.26/x
  3. Step 3: Cross multiply
    634.59x = 953.03 × 519.26
  4. Step 4: Simplify right side
    634.59x = 494,870.46
  5. Step 5: Solve for x
    x = 494,870.46/634.59
  6. Step 6: Final answer
    x = 779.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.