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Finding the Fourth Proportional to 584.48, 809.84 and 572.12

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Solution

The fourth proportional to 584.48, 809.84 and 572.12 is: 792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 809.84 = 572.12 : x
  2. Step 2: Convert to fraction form
    584.48/809.84 = 572.12/x
  3. Step 3: Cross multiply
    584.48x = 809.84 × 572.12
  4. Step 4: Simplify right side
    584.48x = 463,325.66
  5. Step 5: Solve for x
    x = 463,325.66/584.48
  6. Step 6: Final answer
    x = 792.71

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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.