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Finding the Fourth Proportional to 580.76, 800.96 and 505.92

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Solution

The fourth proportional to 580.76, 800.96 and 505.92 is: 697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.76 : 800.96 = 505.92 : x
  2. Step 2: Convert to fraction form
    580.76/800.96 = 505.92/x
  3. Step 3: Cross multiply
    580.76x = 800.96 × 505.92
  4. Step 4: Simplify right side
    580.76x = 405,221.68
  5. Step 5: Solve for x
    x = 405,221.68/580.76
  6. Step 6: Final answer
    x = 697.74

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Find fourth proportional to 290.38, 400.48 and 252.96
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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.