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Finding the Fourth Proportional to 603.69, 832.79 and 406.86

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Solution

The fourth proportional to 603.69, 832.79 and 406.86 is: 561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.69 : 832.79 = 406.86 : x
  2. Step 2: Convert to fraction form
    603.69/832.79 = 406.86/x
  3. Step 3: Cross multiply
    603.69x = 832.79 × 406.86
  4. Step 4: Simplify right side
    603.69x = 338,826.91
  5. Step 5: Solve for x
    x = 338,826.91/603.69
  6. Step 6: Final answer
    x = 561.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.