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Finding the Fourth Proportional to 513.93, 712.65 and 496.61

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Solution

The fourth proportional to 513.93, 712.65 and 496.61 is: 688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.93 : 712.65 = 496.61 : x
  2. Step 2: Convert to fraction form
    513.93/712.65 = 496.61/x
  3. Step 3: Cross multiply
    513.93x = 712.65 × 496.61
  4. Step 4: Simplify right side
    513.93x = 353,912.76
  5. Step 5: Solve for x
    x = 353,912.76/513.93
  6. Step 6: Final answer
    x = 688.64

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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.