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Finding the Fourth Proportional to 832.91, 1,240.63 and 790.79

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Solution

The fourth proportional to 832.91, 1,240.63 and 790.79 is: 1,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.91 : 1,240.63 = 790.79 : x
  2. Step 2: Convert to fraction form
    832.91/1,240.63 = 790.79/x
  3. Step 3: Cross multiply
    832.91x = 1,240.63 × 790.79
  4. Step 4: Simplify right side
    832.91x = 981,069.62
  5. Step 5: Solve for x
    x = 981,069.62/832.91
  6. Step 6: Final answer
    x = 1,177.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.