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Finding the Fourth Proportional to 811.26, 1,216.18 and 688.66

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Solution

The fourth proportional to 811.26, 1,216.18 and 688.66 is: 1,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.26 : 1,216.18 = 688.66 : x
  2. Step 2: Convert to fraction form
    811.26/1,216.18 = 688.66/x
  3. Step 3: Cross multiply
    811.26x = 1,216.18 × 688.66
  4. Step 4: Simplify right side
    811.26x = 837,534.52
  5. Step 5: Solve for x
    x = 837,534.52/811.26
  6. Step 6: Final answer
    x = 1,032.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.