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Finding the Fourth Proportional to 514.90, 772.44 and 254.89

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Solution

The fourth proportional to 514.90, 772.44 and 254.89 is: 382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.90 : 772.44 = 254.89 : x
  2. Step 2: Convert to fraction form
    514.90/772.44 = 254.89/x
  3. Step 3: Cross multiply
    514.90x = 772.44 × 254.89
  4. Step 4: Simplify right side
    514.90x = 196,887.23
  5. Step 5: Solve for x
    x = 196,887.23/514.90
  6. Step 6: Final answer
    x = 382.38

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1.5x scale

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.