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Finding the Fourth Proportional to 603.47, 832.79 and 406.64

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Solution

The fourth proportional to 603.47, 832.79 and 406.64 is: 561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.47 : 832.79 = 406.64 : x
  2. Step 2: Convert to fraction form
    603.47/832.79 = 406.64/x
  3. Step 3: Cross multiply
    603.47x = 832.79 × 406.64
  4. Step 4: Simplify right side
    603.47x = 338,642.58
  5. Step 5: Solve for x
    x = 338,642.58/603.47
  6. Step 6: Final answer
    x = 561.16

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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.