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Finding the Fourth Proportional to 721.69, 995.87 and 407.00

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Solution

The fourth proportional to 721.69, 995.87 and 407.00 is: 561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.69 : 995.87 = 407.00 : x
  2. Step 2: Convert to fraction form
    721.69/995.87 = 407.00/x
  3. Step 3: Cross multiply
    721.69x = 995.87 × 407.00
  4. Step 4: Simplify right side
    721.69x = 405,322.60
  5. Step 5: Solve for x
    x = 405,322.60/721.69
  6. Step 6: Final answer
    x = 561.63

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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.