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Finding the Fourth Proportional to 1,162.96, 1,605.22 and 721.00

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Solution

The fourth proportional to 1,162.96, 1,605.22 and 721.00 is: 995.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.96 : 1,605.22 = 721.00 : x
  2. Step 2: Convert to fraction form
    1,162.96/1,605.22 = 721.00/x
  3. Step 3: Cross multiply
    1,162.96x = 1,605.22 × 721.00
  4. Step 4: Simplify right side
    1,162.96x = 1,157,363.82
  5. Step 5: Solve for x
    x = 1,157,363.82/1,162.96
  6. Step 6: Final answer
    x = 995.19

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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.