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Finding the Fourth Proportional to 965.76, 1,333.35 and 800.34

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Solution

The fourth proportional to 965.76, 1,333.35 and 800.34 is: 1,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.76 : 1,333.35 = 800.34 : x
  2. Step 2: Convert to fraction form
    965.76/1,333.35 = 800.34/x
  3. Step 3: Cross multiply
    965.76x = 1,333.35 × 800.34
  4. Step 4: Simplify right side
    965.76x = 1,067,133.34
  5. Step 5: Solve for x
    x = 1,067,133.34/965.76
  6. Step 6: Final answer
    x = 1,104.97

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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.