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Finding the Fourth Proportional to 961.63, 1,442.16 and 376.61

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Solution

The fourth proportional to 961.63, 1,442.16 and 376.61 is: 564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.63 : 1,442.16 = 376.61 : x
  2. Step 2: Convert to fraction form
    961.63/1,442.16 = 376.61/x
  3. Step 3: Cross multiply
    961.63x = 1,442.16 × 376.61
  4. Step 4: Simplify right side
    961.63x = 543,124.67
  5. Step 5: Solve for x
    x = 543,124.67/961.63
  6. Step 6: Final answer
    x = 564.80

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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.