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Finding the Fourth Proportional to 591.92, 820.16 and 578.48

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Solution

The fourth proportional to 591.92, 820.16 and 578.48 is: 801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.92 : 820.16 = 578.48 : x
  2. Step 2: Convert to fraction form
    591.92/820.16 = 578.48/x
  3. Step 3: Cross multiply
    591.92x = 820.16 × 578.48
  4. Step 4: Simplify right side
    591.92x = 474,446.16
  5. Step 5: Solve for x
    x = 474,446.16/591.92
  6. Step 6: Final answer
    x = 801.54

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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.