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Finding the Fourth Proportional to 832.01, 1,145.67 and 813.79

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Solution

The fourth proportional to 832.01, 1,145.67 and 813.79 is: 1,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.01 : 1,145.67 = 813.79 : x
  2. Step 2: Convert to fraction form
    832.01/1,145.67 = 813.79/x
  3. Step 3: Cross multiply
    832.01x = 1,145.67 × 813.79
  4. Step 4: Simplify right side
    832.01x = 932,334.79
  5. Step 5: Solve for x
    x = 932,334.79/832.01
  6. Step 6: Final answer
    x = 1,120.58

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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.