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Finding the Fourth Proportional to 1,958.32, 2,937.40 and 659.76

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Solution

The fourth proportional to 1,958.32, 2,937.40 and 659.76 is: 989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.32 : 2,937.40 = 659.76 : x
  2. Step 2: Convert to fraction form
    1,958.32/2,937.40 = 659.76/x
  3. Step 3: Cross multiply
    1,958.32x = 2,937.40 × 659.76
  4. Step 4: Simplify right side
    1,958.32x = 1,937,979.02
  5. Step 5: Solve for x
    x = 1,937,979.02/1,958.32
  6. Step 6: Final answer
    x = 989.61

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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.