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Finding the Fourth Proportional to 811.08, 1,120.64 and 717.93

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Solution

The fourth proportional to 811.08, 1,120.64 and 717.93 is: 991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.08 : 1,120.64 = 717.93 : x
  2. Step 2: Convert to fraction form
    811.08/1,120.64 = 717.93/x
  3. Step 3: Cross multiply
    811.08x = 1,120.64 × 717.93
  4. Step 4: Simplify right side
    811.08x = 804,537.49
  5. Step 5: Solve for x
    x = 804,537.49/811.08
  6. Step 6: Final answer
    x = 991.93

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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.