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Finding the Fourth Proportional to 550.20, 821.79 and 473.40

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Solution

The fourth proportional to 550.20, 821.79 and 473.40 is: 707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.20 : 821.79 = 473.40 : x
  2. Step 2: Convert to fraction form
    550.20/821.79 = 473.40/x
  3. Step 3: Cross multiply
    550.20x = 821.79 × 473.40
  4. Step 4: Simplify right side
    550.20x = 389,035.39
  5. Step 5: Solve for x
    x = 389,035.39/550.20
  6. Step 6: Final answer
    x = 707.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.