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Finding the Fourth Proportional to 1,306.08, 1,958.97 and 332.12

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Solution

The fourth proportional to 1,306.08, 1,958.97 and 332.12 is: 498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.08 : 1,958.97 = 332.12 : x
  2. Step 2: Convert to fraction form
    1,306.08/1,958.97 = 332.12/x
  3. Step 3: Cross multiply
    1,306.08x = 1,958.97 × 332.12
  4. Step 4: Simplify right side
    1,306.08x = 650,603.32
  5. Step 5: Solve for x
    x = 650,603.32/1,306.08
  6. Step 6: Final answer
    x = 498.13

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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.