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Finding the Fourth Proportional to 808.66, 1,115.13 and 660.82

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Solution

The fourth proportional to 808.66, 1,115.13 and 660.82 is: 911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.66 : 1,115.13 = 660.82 : x
  2. Step 2: Convert to fraction form
    808.66/1,115.13 = 660.82/x
  3. Step 3: Cross multiply
    808.66x = 1,115.13 × 660.82
  4. Step 4: Simplify right side
    808.66x = 736,900.21
  5. Step 5: Solve for x
    x = 736,900.21/808.66
  6. Step 6: Final answer
    x = 911.26

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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.