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Finding the Fourth Proportional to 991.99, 1,367.68 and 814.30

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Solution

The fourth proportional to 991.99, 1,367.68 and 814.30 is: 1,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.99 : 1,367.68 = 814.30 : x
  2. Step 2: Convert to fraction form
    991.99/1,367.68 = 814.30/x
  3. Step 3: Cross multiply
    991.99x = 1,367.68 × 814.30
  4. Step 4: Simplify right side
    991.99x = 1,113,701.82
  5. Step 5: Solve for x
    x = 1,113,701.82/991.99
  6. Step 6: Final answer
    x = 1,122.69

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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.