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Finding the Fourth Proportional to 589.96, 814.74 and 486.08

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Solution

The fourth proportional to 589.96, 814.74 and 486.08 is: 671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.96 : 814.74 = 486.08 : x
  2. Step 2: Convert to fraction form
    589.96/814.74 = 486.08/x
  3. Step 3: Cross multiply
    589.96x = 814.74 × 486.08
  4. Step 4: Simplify right side
    589.96x = 396,025.98
  5. Step 5: Solve for x
    x = 396,025.98/589.96
  6. Step 6: Final answer
    x = 671.27

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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.