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Finding the Fourth Proportional to 1,334.52, 1,999.98 and 683.88

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Solution

The fourth proportional to 1,334.52, 1,999.98 and 683.88 is: 1,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.52 : 1,999.98 = 683.88 : x
  2. Step 2: Convert to fraction form
    1,334.52/1,999.98 = 683.88/x
  3. Step 3: Cross multiply
    1,334.52x = 1,999.98 × 683.88
  4. Step 4: Simplify right side
    1,334.52x = 1,367,746.32
  5. Step 5: Solve for x
    x = 1,367,746.32/1,334.52
  6. Step 6: Final answer
    x = 1,024.90

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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.