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Finding the Fourth Proportional to 1,333.02, 1,999.67 and 455.52

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Solution

The fourth proportional to 1,333.02, 1,999.67 and 455.52 is: 683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.02 : 1,999.67 = 455.52 : x
  2. Step 2: Convert to fraction form
    1,333.02/1,999.67 = 455.52/x
  3. Step 3: Cross multiply
    1,333.02x = 1,999.67 × 455.52
  4. Step 4: Simplify right side
    1,333.02x = 910,889.68
  5. Step 5: Solve for x
    x = 910,889.68/1,333.02
  6. Step 6: Final answer
    x = 683.33

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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.