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Finding the Fourth Proportional to 857.26, 1,277.12 and 815.98

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Solution

The fourth proportional to 857.26, 1,277.12 and 815.98 is: 1,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.26 : 1,277.12 = 815.98 : x
  2. Step 2: Convert to fraction form
    857.26/1,277.12 = 815.98/x
  3. Step 3: Cross multiply
    857.26x = 1,277.12 × 815.98
  4. Step 4: Simplify right side
    857.26x = 1,042,104.38
  5. Step 5: Solve for x
    x = 1,042,104.38/857.26
  6. Step 6: Final answer
    x = 1,215.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.