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Finding the Fourth Proportional to 2,043.43, 3,064.63 and 656.91

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Solution

The fourth proportional to 2,043.43, 3,064.63 and 656.91 is: 985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.43 : 3,064.63 = 656.91 : x
  2. Step 2: Convert to fraction form
    2,043.43/3,064.63 = 656.91/x
  3. Step 3: Cross multiply
    2,043.43x = 3,064.63 × 656.91
  4. Step 4: Simplify right side
    2,043.43x = 2,013,186.09
  5. Step 5: Solve for x
    x = 2,013,186.09/2,043.43
  6. Step 6: Final answer
    x = 985.20

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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.