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Finding the Fourth Proportional to 514.53, 713.69 and 496.09

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Solution

The fourth proportional to 514.53, 713.69 and 496.09 is: 688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.53 : 713.69 = 496.09 : x
  2. Step 2: Convert to fraction form
    514.53/713.69 = 496.09/x
  3. Step 3: Cross multiply
    514.53x = 713.69 × 496.09
  4. Step 4: Simplify right side
    514.53x = 354,054.47
  5. Step 5: Solve for x
    x = 354,054.47/514.53
  6. Step 6: Final answer
    x = 688.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.