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Finding the Fourth Proportional to 992.82, 1,368.87 and 815.58

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Solution

The fourth proportional to 992.82, 1,368.87 and 815.58 is: 1,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.82 : 1,368.87 = 815.58 : x
  2. Step 2: Convert to fraction form
    992.82/1,368.87 = 815.58/x
  3. Step 3: Cross multiply
    992.82x = 1,368.87 × 815.58
  4. Step 4: Simplify right side
    992.82x = 1,116,422.99
  5. Step 5: Solve for x
    x = 1,116,422.99/992.82
  6. Step 6: Final answer
    x = 1,124.50

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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.