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Finding the Fourth Proportional to 811.83, 1,117.74 and 687.22

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Solution

The fourth proportional to 811.83, 1,117.74 and 687.22 is: 946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.83 : 1,117.74 = 687.22 : x
  2. Step 2: Convert to fraction form
    811.83/1,117.74 = 687.22/x
  3. Step 3: Cross multiply
    811.83x = 1,117.74 × 687.22
  4. Step 4: Simplify right side
    811.83x = 768,133.28
  5. Step 5: Solve for x
    x = 768,133.28/811.83
  6. Step 6: Final answer
    x = 946.18

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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.