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Finding the Fourth Proportional to 964.91, 1,330.66 and 701.09

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Solution

The fourth proportional to 964.91, 1,330.66 and 701.09 is: 966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.91 : 1,330.66 = 701.09 : x
  2. Step 2: Convert to fraction form
    964.91/1,330.66 = 701.09/x
  3. Step 3: Cross multiply
    964.91x = 1,330.66 × 701.09
  4. Step 4: Simplify right side
    964.91x = 932,911.63
  5. Step 5: Solve for x
    x = 932,911.63/964.91
  6. Step 6: Final answer
    x = 966.84

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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.