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Finding the Fourth Proportional to 2,046.58, 3,070.14 and 659.46

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Solution

The fourth proportional to 2,046.58, 3,070.14 and 659.46 is: 989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.58 : 3,070.14 = 659.46 : x
  2. Step 2: Convert to fraction form
    2,046.58/3,070.14 = 659.46/x
  3. Step 3: Cross multiply
    2,046.58x = 3,070.14 × 659.46
  4. Step 4: Simplify right side
    2,046.58x = 2,024,634.52
  5. Step 5: Solve for x
    x = 2,024,634.52/2,046.58
  6. Step 6: Final answer
    x = 989.28

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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.