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Finding the Fourth Proportional to 837.45, 1,256.36 and 289.62

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Solution

The fourth proportional to 837.45, 1,256.36 and 289.62 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.45 : 1,256.36 = 289.62 : x
  2. Step 2: Convert to fraction form
    837.45/1,256.36 = 289.62/x
  3. Step 3: Cross multiply
    837.45x = 1,256.36 × 289.62
  4. Step 4: Simplify right side
    837.45x = 363,865.54
  5. Step 5: Solve for x
    x = 363,865.54/837.45
  6. Step 6: Final answer
    x = 434.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.