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Finding the Fourth Proportional to 2,043.41, 3,065.05 and 656.84

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Solution

The fourth proportional to 2,043.41, 3,065.05 and 656.84 is: 985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.41 : 3,065.05 = 656.84 : x
  2. Step 2: Convert to fraction form
    2,043.41/3,065.05 = 656.84/x
  3. Step 3: Cross multiply
    2,043.41x = 3,065.05 × 656.84
  4. Step 4: Simplify right side
    2,043.41x = 2,013,253.46
  5. Step 5: Solve for x
    x = 2,013,253.46/2,043.41
  6. Step 6: Final answer
    x = 985.24

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1.5x scale

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.