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Finding the Fourth Proportional to 721.64, 995.97 and 407.03

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Solution

The fourth proportional to 721.64, 995.97 and 407.03 is: 561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.64 : 995.97 = 407.03 : x
  2. Step 2: Convert to fraction form
    721.64/995.97 = 407.03/x
  3. Step 3: Cross multiply
    721.64x = 995.97 × 407.03
  4. Step 4: Simplify right side
    721.64x = 405,384.69
  5. Step 5: Solve for x
    x = 405,384.69/721.64
  6. Step 6: Final answer
    x = 561.76

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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.