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Finding the Fourth Proportional to 550.08, 821.14 and 468.04

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Solution

The fourth proportional to 550.08, 821.14 and 468.04 is: 698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.08 : 821.14 = 468.04 : x
  2. Step 2: Convert to fraction form
    550.08/821.14 = 468.04/x
  3. Step 3: Cross multiply
    550.08x = 821.14 × 468.04
  4. Step 4: Simplify right side
    550.08x = 384,326.37
  5. Step 5: Solve for x
    x = 384,326.37/550.08
  6. Step 6: Final answer
    x = 698.67

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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.