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Finding the Fourth Proportional to 580.05, 800.28 and 331.34

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Solution

The fourth proportional to 580.05, 800.28 and 331.34 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.05 : 800.28 = 331.34 : x
  2. Step 2: Convert to fraction form
    580.05/800.28 = 331.34/x
  3. Step 3: Cross multiply
    580.05x = 800.28 × 331.34
  4. Step 4: Simplify right side
    580.05x = 265,160.77
  5. Step 5: Solve for x
    x = 265,160.77/580.05
  6. Step 6: Final answer
    x = 457.13

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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.