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Finding the Fourth Proportional to 507.05, 697.91 and 423.21

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Solution

The fourth proportional to 507.05, 697.91 and 423.21 is: 582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.05 : 697.91 = 423.21 : x
  2. Step 2: Convert to fraction form
    507.05/697.91 = 423.21/x
  3. Step 3: Cross multiply
    507.05x = 697.91 × 423.21
  4. Step 4: Simplify right side
    507.05x = 295,362.49
  5. Step 5: Solve for x
    x = 295,362.49/507.05
  6. Step 6: Final answer
    x = 582.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.