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Finding the Fourth Proportional to 815.64, 1,125.27 and 811.98

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Solution

The fourth proportional to 815.64, 1,125.27 and 811.98 is: 1,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.64 : 1,125.27 = 811.98 : x
  2. Step 2: Convert to fraction form
    815.64/1,125.27 = 811.98/x
  3. Step 3: Cross multiply
    815.64x = 1,125.27 × 811.98
  4. Step 4: Simplify right side
    815.64x = 913,696.73
  5. Step 5: Solve for x
    x = 913,696.73/815.64
  6. Step 6: Final answer
    x = 1,120.22

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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.