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Finding the Fourth Proportional to 2,043.76, 3,065.75 and 656.99

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Solution

The fourth proportional to 2,043.76, 3,065.75 and 656.99 is: 985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.76 : 3,065.75 = 656.99 : x
  2. Step 2: Convert to fraction form
    2,043.76/3,065.75 = 656.99/x
  3. Step 3: Cross multiply
    2,043.76x = 3,065.75 × 656.99
  4. Step 4: Simplify right side
    2,043.76x = 2,014,156.14
  5. Step 5: Solve for x
    x = 2,014,156.14/2,043.76
  6. Step 6: Final answer
    x = 985.52

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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.