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Finding the Fourth Proportional to 580.89, 799.22 and 507.38

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Solution

The fourth proportional to 580.89, 799.22 and 507.38 is: 698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.89 : 799.22 = 507.38 : x
  2. Step 2: Convert to fraction form
    580.89/799.22 = 507.38/x
  3. Step 3: Cross multiply
    580.89x = 799.22 × 507.38
  4. Step 4: Simplify right side
    580.89x = 405,511.51
  5. Step 5: Solve for x
    x = 405,511.51/580.89
  6. Step 6: Final answer
    x = 698.09

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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.