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Finding the Fourth Proportional to 705.28, 971.76 and 672.52

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Solution

The fourth proportional to 705.28, 971.76 and 672.52 is: 926.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.28 : 971.76 = 672.52 : x
  2. Step 2: Convert to fraction form
    705.28/971.76 = 672.52/x
  3. Step 3: Cross multiply
    705.28x = 971.76 × 672.52
  4. Step 4: Simplify right side
    705.28x = 653,528.04
  5. Step 5: Solve for x
    x = 653,528.04/705.28
  6. Step 6: Final answer
    x = 926.62

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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.