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Finding the Fourth Proportional to 991.30, 1,369.00 and 823.85

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Solution

The fourth proportional to 991.30, 1,369.00 and 823.85 is: 1,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.30 : 1,369.00 = 823.85 : x
  2. Step 2: Convert to fraction form
    991.30/1,369.00 = 823.85/x
  3. Step 3: Cross multiply
    991.30x = 1,369.00 × 823.85
  4. Step 4: Simplify right side
    991.30x = 1,127,852.01
  5. Step 5: Solve for x
    x = 1,127,852.01/991.30
  6. Step 6: Final answer
    x = 1,137.75

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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.