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Finding the Fourth Proportional to 580.20, 799.78 and 476.52

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Solution

The fourth proportional to 580.20, 799.78 and 476.52 is: 656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.20 : 799.78 = 476.52 : x
  2. Step 2: Convert to fraction form
    580.20/799.78 = 476.52/x
  3. Step 3: Cross multiply
    580.20x = 799.78 × 476.52
  4. Step 4: Simplify right side
    580.20x = 381,111.17
  5. Step 5: Solve for x
    x = 381,111.17/580.20
  6. Step 6: Final answer
    x = 656.86

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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.