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Finding the Fourth Proportional to 580.19, 800.78 and 344.05

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Solution

The fourth proportional to 580.19, 800.78 and 344.05 is: 474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.19 : 800.78 = 344.05 : x
  2. Step 2: Convert to fraction form
    580.19/800.78 = 344.05/x
  3. Step 3: Cross multiply
    580.19x = 800.78 × 344.05
  4. Step 4: Simplify right side
    580.19x = 275,502.63
  5. Step 5: Solve for x
    x = 275,502.63/580.19
  6. Step 6: Final answer
    x = 474.85

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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.