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Finding the Fourth Proportional to 1,308, 1,961.32 and 442

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Solution

The fourth proportional to 1,308, 1,961.32 and 442 is: 662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308 : 1,961.32 = 442 : x
  2. Step 2: Convert to fraction form
    1,308/1,961.32 = 442/x
  3. Step 3: Cross multiply
    1,308x = 1,961.32 × 442
  4. Step 4: Simplify right side
    1,308x = 866,903.44
  5. Step 5: Solve for x
    x = 866,903.44/1,308
  6. Step 6: Final answer
    x = 662.77

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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.