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Finding the Fourth Proportional to 1,146.88, 1,720.38 and 684.88

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Solution

The fourth proportional to 1,146.88, 1,720.38 and 684.88 is: 1,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.88 : 1,720.38 = 684.88 : x
  2. Step 2: Convert to fraction form
    1,146.88/1,720.38 = 684.88/x
  3. Step 3: Cross multiply
    1,146.88x = 1,720.38 × 684.88
  4. Step 4: Simplify right side
    1,146.88x = 1,178,253.85
  5. Step 5: Solve for x
    x = 1,178,253.85/1,146.88
  6. Step 6: Final answer
    x = 1,027.36

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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.