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Finding the Fourth Proportional to 514.88, 768.64 and 496.88

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Solution

The fourth proportional to 514.88, 768.64 and 496.88 is: 741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.88 : 768.64 = 496.88 : x
  2. Step 2: Convert to fraction form
    514.88/768.64 = 496.88/x
  3. Step 3: Cross multiply
    514.88x = 768.64 × 496.88
  4. Step 4: Simplify right side
    514.88x = 381,921.84
  5. Step 5: Solve for x
    x = 381,921.84/514.88
  6. Step 6: Final answer
    x = 741.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.