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Finding the Fourth Proportional to 582.18, 878.33 and 550.32

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Solution

The fourth proportional to 582.18, 878.33 and 550.32 is: 830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.18 : 878.33 = 550.32 : x
  2. Step 2: Convert to fraction form
    582.18/878.33 = 550.32/x
  3. Step 3: Cross multiply
    582.18x = 878.33 × 550.32
  4. Step 4: Simplify right side
    582.18x = 483,359.81
  5. Step 5: Solve for x
    x = 483,359.81/582.18
  6. Step 6: Final answer
    x = 830.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.