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Finding the Fourth Proportional to 580.80, 800.96 and 456.64

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Solution

The fourth proportional to 580.80, 800.96 and 456.64 is: 629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.80 : 800.96 = 456.64 : x
  2. Step 2: Convert to fraction form
    580.80/800.96 = 456.64/x
  3. Step 3: Cross multiply
    580.80x = 800.96 × 456.64
  4. Step 4: Simplify right side
    580.80x = 365,750.37
  5. Step 5: Solve for x
    x = 365,750.37/580.80
  6. Step 6: Final answer
    x = 629.74

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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.