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Finding the Fourth Proportional to 407.36, 609.83 and 352.69

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Solution

The fourth proportional to 407.36, 609.83 and 352.69 is: 527.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.36 : 609.83 = 352.69 : x
  2. Step 2: Convert to fraction form
    407.36/609.83 = 352.69/x
  3. Step 3: Cross multiply
    407.36x = 609.83 × 352.69
  4. Step 4: Simplify right side
    407.36x = 215,078.98
  5. Step 5: Solve for x
    x = 215,078.98/407.36
  6. Step 6: Final answer
    x = 527.98

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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.