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Finding the Fourth Proportional to 603.13, 832.08 and 406.77

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Solution

The fourth proportional to 603.13, 832.08 and 406.77 is: 561.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.13 : 832.08 = 406.77 : x
  2. Step 2: Convert to fraction form
    603.13/832.08 = 406.77/x
  3. Step 3: Cross multiply
    603.13x = 832.08 × 406.77
  4. Step 4: Simplify right side
    603.13x = 338,465.18
  5. Step 5: Solve for x
    x = 338,465.18/603.13
  6. Step 6: Final answer
    x = 561.18

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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.