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Finding the Fourth Proportional to 699.35, 965.81 and 576.23

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Solution

The fourth proportional to 699.35, 965.81 and 576.23 is: 795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.35 : 965.81 = 576.23 : x
  2. Step 2: Convert to fraction form
    699.35/965.81 = 576.23/x
  3. Step 3: Cross multiply
    699.35x = 965.81 × 576.23
  4. Step 4: Simplify right side
    699.35x = 556,525.82
  5. Step 5: Solve for x
    x = 556,525.82/699.35
  6. Step 6: Final answer
    x = 795.78

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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.