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Finding the Fourth Proportional to 507.64, 694.97 and 494.68

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Solution

The fourth proportional to 507.64, 694.97 and 494.68 is: 677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.64 : 694.97 = 494.68 : x
  2. Step 2: Convert to fraction form
    507.64/694.97 = 494.68/x
  3. Step 3: Cross multiply
    507.64x = 694.97 × 494.68
  4. Step 4: Simplify right side
    507.64x = 343,787.76
  5. Step 5: Solve for x
    x = 343,787.76/507.64
  6. Step 6: Final answer
    x = 677.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.