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Finding the Fourth Proportional to 813.15, 1,122.16 and 494.03

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Solution

The fourth proportional to 813.15, 1,122.16 and 494.03 is: 681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.15 : 1,122.16 = 494.03 : x
  2. Step 2: Convert to fraction form
    813.15/1,122.16 = 494.03/x
  3. Step 3: Cross multiply
    813.15x = 1,122.16 × 494.03
  4. Step 4: Simplify right side
    813.15x = 554,382.28
  5. Step 5: Solve for x
    x = 554,382.28/813.15
  6. Step 6: Final answer
    x = 681.77

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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.