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Finding the Fourth Proportional to 823.05, 1,135.16 and 491.40

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Solution

The fourth proportional to 823.05, 1,135.16 and 491.40 is: 677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.05 : 1,135.16 = 491.40 : x
  2. Step 2: Convert to fraction form
    823.05/1,135.16 = 491.40/x
  3. Step 3: Cross multiply
    823.05x = 1,135.16 × 491.40
  4. Step 4: Simplify right side
    823.05x = 557,815.17
  5. Step 5: Solve for x
    x = 557,815.17/823.05
  6. Step 6: Final answer
    x = 677.74

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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.