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Finding the Fourth Proportional to 1,327.34, 1,990.08 and 962.84

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Solution

The fourth proportional to 1,327.34, 1,990.08 and 962.84 is: 1,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.34 : 1,990.08 = 962.84 : x
  2. Step 2: Convert to fraction form
    1,327.34/1,990.08 = 962.84/x
  3. Step 3: Cross multiply
    1,327.34x = 1,990.08 × 962.84
  4. Step 4: Simplify right side
    1,327.34x = 1,916,128.63
  5. Step 5: Solve for x
    x = 1,916,128.63/1,327.34
  6. Step 6: Final answer
    x = 1,443.59

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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.