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Finding the Fourth Proportional to 507.71, 691.74 and 496.43

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Solution

The fourth proportional to 507.71, 691.74 and 496.43 is: 676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.71 : 691.74 = 496.43 : x
  2. Step 2: Convert to fraction form
    507.71/691.74 = 496.43/x
  3. Step 3: Cross multiply
    507.71x = 691.74 × 496.43
  4. Step 4: Simplify right side
    507.71x = 343,397.03
  5. Step 5: Solve for x
    x = 343,397.03/507.71
  6. Step 6: Final answer
    x = 676.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.