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Finding the Fourth Proportional to 406.69, 609.84 and 175.43

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Solution

The fourth proportional to 406.69, 609.84 and 175.43 is: 263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 609.84 = 175.43 : x
  2. Step 2: Convert to fraction form
    406.69/609.84 = 175.43/x
  3. Step 3: Cross multiply
    406.69x = 609.84 × 175.43
  4. Step 4: Simplify right side
    406.69x = 106,985.76
  5. Step 5: Solve for x
    x = 106,985.76/406.69
  6. Step 6: Final answer
    x = 263.07

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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.