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Finding the Fourth Proportional to 992.00, 1,371.60 and 869.01

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Solution

The fourth proportional to 992.00, 1,371.60 and 869.01 is: 1,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.00 : 1,371.60 = 869.01 : x
  2. Step 2: Convert to fraction form
    992.00/1,371.60 = 869.01/x
  3. Step 3: Cross multiply
    992.00x = 1,371.60 × 869.01
  4. Step 4: Simplify right side
    992.00x = 1,191,934.12
  5. Step 5: Solve for x
    x = 1,191,934.12/992.00
  6. Step 6: Final answer
    x = 1,201.55

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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.