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Finding the Fourth Proportional to 513.28, 712.60 and 497.44

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Solution

The fourth proportional to 513.28, 712.60 and 497.44 is: 690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.28 : 712.60 = 497.44 : x
  2. Step 2: Convert to fraction form
    513.28/712.60 = 497.44/x
  3. Step 3: Cross multiply
    513.28x = 712.60 × 497.44
  4. Step 4: Simplify right side
    513.28x = 354,475.74
  5. Step 5: Solve for x
    x = 354,475.74/513.28
  6. Step 6: Final answer
    x = 690.61

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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.