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Finding the Fourth Proportional to 507.42, 696.22 and 493.64

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Solution

The fourth proportional to 507.42, 696.22 and 493.64 is: 677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 696.22 = 493.64 : x
  2. Step 2: Convert to fraction form
    507.42/696.22 = 493.64/x
  3. Step 3: Cross multiply
    507.42x = 696.22 × 493.64
  4. Step 4: Simplify right side
    507.42x = 343,682.04
  5. Step 5: Solve for x
    x = 343,682.04/507.42
  6. Step 6: Final answer
    x = 677.31

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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.