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Finding the Fourth Proportional to 550.04, 824.14 and 387.44

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Solution

The fourth proportional to 550.04, 824.14 and 387.44 is: 580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.04 : 824.14 = 387.44 : x
  2. Step 2: Convert to fraction form
    550.04/824.14 = 387.44/x
  3. Step 3: Cross multiply
    550.04x = 824.14 × 387.44
  4. Step 4: Simplify right side
    550.04x = 319,304.80
  5. Step 5: Solve for x
    x = 319,304.80/550.04
  6. Step 6: Final answer
    x = 580.51

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Double scale
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1.5x scale

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.