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Finding the Fourth Proportional to 837.46, 1,256.58 and 404.50

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Solution

The fourth proportional to 837.46, 1,256.58 and 404.50 is: 606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.46 : 1,256.58 = 404.50 : x
  2. Step 2: Convert to fraction form
    837.46/1,256.58 = 404.50/x
  3. Step 3: Cross multiply
    837.46x = 1,256.58 × 404.50
  4. Step 4: Simplify right side
    837.46x = 508,286.61
  5. Step 5: Solve for x
    x = 508,286.61/837.46
  6. Step 6: Final answer
    x = 606.94

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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.