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Finding the Fourth Proportional to 964.84, 1,330.80 and 932.70

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Solution

The fourth proportional to 964.84, 1,330.80 and 932.70 is: 1,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.84 : 1,330.80 = 932.70 : x
  2. Step 2: Convert to fraction form
    964.84/1,330.80 = 932.70/x
  3. Step 3: Cross multiply
    964.84x = 1,330.80 × 932.70
  4. Step 4: Simplify right side
    964.84x = 1,241,237.16
  5. Step 5: Solve for x
    x = 1,241,237.16/964.84
  6. Step 6: Final answer
    x = 1,286.47

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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.