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Finding the Fourth Proportional to 961.88, 1,443.08 and 345.65

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Solution

The fourth proportional to 961.88, 1,443.08 and 345.65 is: 518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.88 : 1,443.08 = 345.65 : x
  2. Step 2: Convert to fraction form
    961.88/1,443.08 = 345.65/x
  3. Step 3: Cross multiply
    961.88x = 1,443.08 × 345.65
  4. Step 4: Simplify right side
    961.88x = 498,800.60
  5. Step 5: Solve for x
    x = 498,800.60/961.88
  6. Step 6: Final answer
    x = 518.57

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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.