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Finding the Fourth Proportional to 992.00, 1,369.10 and 825.93

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Solution

The fourth proportional to 992.00, 1,369.10 and 825.93 is: 1,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.00 : 1,369.10 = 825.93 : x
  2. Step 2: Convert to fraction form
    992.00/1,369.10 = 825.93/x
  3. Step 3: Cross multiply
    992.00x = 1,369.10 × 825.93
  4. Step 4: Simplify right side
    992.00x = 1,130,776.63
  5. Step 5: Solve for x
    x = 1,130,776.63/992.00
  6. Step 6: Final answer
    x = 1,139.90

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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.