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Finding the Fourth Proportional to 708.05, 974.25 and 689.94

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Solution

The fourth proportional to 708.05, 974.25 and 689.94 is: 949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.05 : 974.25 = 689.94 : x
  2. Step 2: Convert to fraction form
    708.05/974.25 = 689.94/x
  3. Step 3: Cross multiply
    708.05x = 974.25 × 689.94
  4. Step 4: Simplify right side
    708.05x = 672,174.05
  5. Step 5: Solve for x
    x = 672,174.05/708.05
  6. Step 6: Final answer
    x = 949.33

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1.5x scale

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.