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Finding the Fourth Proportional to 1,332.89, 1,999.15 and 455.39

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Solution

The fourth proportional to 1,332.89, 1,999.15 and 455.39 is: 683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.89 : 1,999.15 = 455.39 : x
  2. Step 2: Convert to fraction form
    1,332.89/1,999.15 = 455.39/x
  3. Step 3: Cross multiply
    1,332.89x = 1,999.15 × 455.39
  4. Step 4: Simplify right side
    1,332.89x = 910,392.92
  5. Step 5: Solve for x
    x = 910,392.92/1,332.89
  6. Step 6: Final answer
    x = 683.02

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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.