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Finding the Fourth Proportional to 2,046.53, 3,070.39 and 659.84

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Solution

The fourth proportional to 2,046.53, 3,070.39 and 659.84 is: 989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.53 : 3,070.39 = 659.84 : x
  2. Step 2: Convert to fraction form
    2,046.53/3,070.39 = 659.84/x
  3. Step 3: Cross multiply
    2,046.53x = 3,070.39 × 659.84
  4. Step 4: Simplify right side
    2,046.53x = 2,025,950.37
  5. Step 5: Solve for x
    x = 2,025,950.37/2,046.53
  6. Step 6: Final answer
    x = 989.95

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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.