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Finding the Fourth Proportional to 592.48, 820.84 and 580.96

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Solution

The fourth proportional to 592.48, 820.84 and 580.96 is: 804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.48 : 820.84 = 580.96 : x
  2. Step 2: Convert to fraction form
    592.48/820.84 = 580.96/x
  3. Step 3: Cross multiply
    592.48x = 820.84 × 580.96
  4. Step 4: Simplify right side
    592.48x = 476,875.21
  5. Step 5: Solve for x
    x = 476,875.21/592.48
  6. Step 6: Final answer
    x = 804.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.