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Finding the Fourth Proportional to 965.84, 1,330.92 and 699.82

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Solution

The fourth proportional to 965.84, 1,330.92 and 699.82 is: 964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.84 : 1,330.92 = 699.82 : x
  2. Step 2: Convert to fraction form
    965.84/1,330.92 = 699.82/x
  3. Step 3: Cross multiply
    965.84x = 1,330.92 × 699.82
  4. Step 4: Simplify right side
    965.84x = 931,401.11
  5. Step 5: Solve for x
    x = 931,401.11/965.84
  6. Step 6: Final answer
    x = 964.35

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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.