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Finding the Fourth Proportional to 580.03, 798.43 and 506.21

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Solution

The fourth proportional to 580.03, 798.43 and 506.21 is: 696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.03 : 798.43 = 506.21 : x
  2. Step 2: Convert to fraction form
    580.03/798.43 = 506.21/x
  3. Step 3: Cross multiply
    580.03x = 798.43 × 506.21
  4. Step 4: Simplify right side
    580.03x = 404,173.98
  5. Step 5: Solve for x
    x = 404,173.98/580.03
  6. Step 6: Final answer
    x = 696.82

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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.