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Finding the Fourth Proportional to 851.70, 1,175.49 and 709.69

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Solution

The fourth proportional to 851.70, 1,175.49 and 709.69 is: 979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.70 : 1,175.49 = 709.69 : x
  2. Step 2: Convert to fraction form
    851.70/1,175.49 = 709.69/x
  3. Step 3: Cross multiply
    851.70x = 1,175.49 × 709.69
  4. Step 4: Simplify right side
    851.70x = 834,230.56
  5. Step 5: Solve for x
    x = 834,230.56/851.70
  6. Step 6: Final answer
    x = 979.49

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Double scale
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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.