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Finding the Fourth Proportional to 838.36, 1,256.64 and 404.92

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Solution

The fourth proportional to 838.36, 1,256.64 and 404.92 is: 606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.36 : 1,256.64 = 404.92 : x
  2. Step 2: Convert to fraction form
    838.36/1,256.64 = 404.92/x
  3. Step 3: Cross multiply
    838.36x = 1,256.64 × 404.92
  4. Step 4: Simplify right side
    838.36x = 508,838.67
  5. Step 5: Solve for x
    x = 508,838.67/838.36
  6. Step 6: Final answer
    x = 606.95

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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.