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Finding the Fourth Proportional to 550.05, 824.12 and 412.89

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Solution

The fourth proportional to 550.05, 824.12 and 412.89 is: 618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.05 : 824.12 = 412.89 : x
  2. Step 2: Convert to fraction form
    550.05/824.12 = 412.89/x
  3. Step 3: Cross multiply
    550.05x = 824.12 × 412.89
  4. Step 4: Simplify right side
    550.05x = 340,270.91
  5. Step 5: Solve for x
    x = 340,270.91/550.05
  6. Step 6: Final answer
    x = 618.62

Related Problems

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Half scale
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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.