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Finding the Fourth Proportional to 582.07, 798.38 and 550.75

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Solution

The fourth proportional to 582.07, 798.38 and 550.75 is: 755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.07 : 798.38 = 550.75 : x
  2. Step 2: Convert to fraction form
    582.07/798.38 = 550.75/x
  3. Step 3: Cross multiply
    582.07x = 798.38 × 550.75
  4. Step 4: Simplify right side
    582.07x = 439,707.79
  5. Step 5: Solve for x
    x = 439,707.79/582.07
  6. Step 6: Final answer
    x = 755.42

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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.