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Finding the Fourth Proportional to 585, 806.85 and 428.22

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Solution

The fourth proportional to 585, 806.85 and 428.22 is: 590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 806.85 = 428.22 : x
  2. Step 2: Convert to fraction form
    585/806.85 = 428.22/x
  3. Step 3: Cross multiply
    585x = 806.85 × 428.22
  4. Step 4: Simplify right side
    585x = 345,509.31
  5. Step 5: Solve for x
    x = 345,509.31/585
  6. Step 6: Final answer
    x = 590.61

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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.