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Finding the Fourth Proportional to 515.93, 773.74 and 203.53

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Solution

The fourth proportional to 515.93, 773.74 and 203.53 is: 305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.93 : 773.74 = 203.53 : x
  2. Step 2: Convert to fraction form
    515.93/773.74 = 203.53/x
  3. Step 3: Cross multiply
    515.93x = 773.74 × 203.53
  4. Step 4: Simplify right side
    515.93x = 157,479.30
  5. Step 5: Solve for x
    x = 157,479.30/515.93
  6. Step 6: Final answer
    x = 305.23

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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.