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Finding the Fourth Proportional to 1,336.36, 2,005.02 and 458.92

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Solution

The fourth proportional to 1,336.36, 2,005.02 and 458.92 is: 688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.36 : 2,005.02 = 458.92 : x
  2. Step 2: Convert to fraction form
    1,336.36/2,005.02 = 458.92/x
  3. Step 3: Cross multiply
    1,336.36x = 2,005.02 × 458.92
  4. Step 4: Simplify right side
    1,336.36x = 920,143.78
  5. Step 5: Solve for x
    x = 920,143.78/1,336.36
  6. Step 6: Final answer
    x = 688.54

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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.