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Finding the Fourth Proportional to 550.76, 824 and 397.04

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Solution

The fourth proportional to 550.76, 824 and 397.04 is: 594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.76 : 824 = 397.04 : x
  2. Step 2: Convert to fraction form
    550.76/824 = 397.04/x
  3. Step 3: Cross multiply
    550.76x = 824 × 397.04
  4. Step 4: Simplify right side
    550.76x = 327,160.96
  5. Step 5: Solve for x
    x = 327,160.96/550.76
  6. Step 6: Final answer
    x = 594.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.