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Finding the Fourth Proportional to 1,327.72, 1,832.64 and 830.06

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Solution

The fourth proportional to 1,327.72, 1,832.64 and 830.06 is: 1,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.72 : 1,832.64 = 830.06 : x
  2. Step 2: Convert to fraction form
    1,327.72/1,832.64 = 830.06/x
  3. Step 3: Cross multiply
    1,327.72x = 1,832.64 × 830.06
  4. Step 4: Simplify right side
    1,327.72x = 1,521,201.16
  5. Step 5: Solve for x
    x = 1,521,201.16/1,327.72
  6. Step 6: Final answer
    x = 1,145.73

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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.