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Finding the Fourth Proportional to 720.96, 995.01 and 406.34

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Solution

The fourth proportional to 720.96, 995.01 and 406.34 is: 560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.96 : 995.01 = 406.34 : x
  2. Step 2: Convert to fraction form
    720.96/995.01 = 406.34/x
  3. Step 3: Cross multiply
    720.96x = 995.01 × 406.34
  4. Step 4: Simplify right side
    720.96x = 404,312.36
  5. Step 5: Solve for x
    x = 404,312.36/720.96
  6. Step 6: Final answer
    x = 560.80

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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.