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Finding the Fourth Proportional to 823.07, 1,135.45 and 491.30

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Solution

The fourth proportional to 823.07, 1,135.45 and 491.30 is: 677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.07 : 1,135.45 = 491.30 : x
  2. Step 2: Convert to fraction form
    823.07/1,135.45 = 491.30/x
  3. Step 3: Cross multiply
    823.07x = 1,135.45 × 491.30
  4. Step 4: Simplify right side
    823.07x = 557,846.59
  5. Step 5: Solve for x
    x = 557,846.59/823.07
  6. Step 6: Final answer
    x = 677.76

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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.