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Finding the Fourth Proportional to 550.40, 832.13 and 550.40

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Solution

The fourth proportional to 550.40, 832.13 and 550.40 is: 832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 832.13 = 550.40 : x
  2. Step 2: Convert to fraction form
    550.40/832.13 = 550.40/x
  3. Step 3: Cross multiply
    550.40x = 832.13 × 550.40
  4. Step 4: Simplify right side
    550.40x = 458,004.35
  5. Step 5: Solve for x
    x = 458,004.35/550.40
  6. Step 6: Final answer
    x = 832.13

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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.