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Finding the Fourth Proportional to 1,442.62, 1,991 and 945.68

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Solution

The fourth proportional to 1,442.62, 1,991 and 945.68 is: 1,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.62 : 1,991 = 945.68 : x
  2. Step 2: Convert to fraction form
    1,442.62/1,991 = 945.68/x
  3. Step 3: Cross multiply
    1,442.62x = 1,991 × 945.68
  4. Step 4: Simplify right side
    1,442.62x = 1,882,848.88
  5. Step 5: Solve for x
    x = 1,882,848.88/1,442.62
  6. Step 6: Final answer
    x = 1,305.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.