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Finding the Fourth Proportional to 550.47, 821.96 and 446.59

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Solution

The fourth proportional to 550.47, 821.96 and 446.59 is: 666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.47 : 821.96 = 446.59 : x
  2. Step 2: Convert to fraction form
    550.47/821.96 = 446.59/x
  3. Step 3: Cross multiply
    550.47x = 821.96 × 446.59
  4. Step 4: Simplify right side
    550.47x = 367,079.12
  5. Step 5: Solve for x
    x = 367,079.12/550.47
  6. Step 6: Final answer
    x = 666.85

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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.