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Finding the Fourth Proportional to 588.78, 809.00 and 550.86

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Solution

The fourth proportional to 588.78, 809.00 and 550.86 is: 756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.78 : 809.00 = 550.86 : x
  2. Step 2: Convert to fraction form
    588.78/809.00 = 550.86/x
  3. Step 3: Cross multiply
    588.78x = 809.00 × 550.86
  4. Step 4: Simplify right side
    588.78x = 445,642.99
  5. Step 5: Solve for x
    x = 445,642.99/588.78
  6. Step 6: Final answer
    x = 756.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.