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Finding the Fourth Proportional to 811.72, 1,117.86 and 578.44

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Solution

The fourth proportional to 811.72, 1,117.86 and 578.44 is: 796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.72 : 1,117.86 = 578.44 : x
  2. Step 2: Convert to fraction form
    811.72/1,117.86 = 578.44/x
  3. Step 3: Cross multiply
    811.72x = 1,117.86 × 578.44
  4. Step 4: Simplify right side
    811.72x = 646,614.94
  5. Step 5: Solve for x
    x = 646,614.94/811.72
  6. Step 6: Final answer
    x = 796.60

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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.