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Finding the Fourth Proportional to 456.69, 684.22 and 405.87

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Solution

The fourth proportional to 456.69, 684.22 and 405.87 is: 608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.69 : 684.22 = 405.87 : x
  2. Step 2: Convert to fraction form
    456.69/684.22 = 405.87/x
  3. Step 3: Cross multiply
    456.69x = 684.22 × 405.87
  4. Step 4: Simplify right side
    456.69x = 277,704.37
  5. Step 5: Solve for x
    x = 277,704.37/456.69
  6. Step 6: Final answer
    x = 608.08

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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.