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Finding the Fourth Proportional to 1,109.80, 1,663.08 and 622.99

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Solution

The fourth proportional to 1,109.80, 1,663.08 and 622.99 is: 933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.80 : 1,663.08 = 622.99 : x
  2. Step 2: Convert to fraction form
    1,109.80/1,663.08 = 622.99/x
  3. Step 3: Cross multiply
    1,109.80x = 1,663.08 × 622.99
  4. Step 4: Simplify right side
    1,109.80x = 1,036,082.21
  5. Step 5: Solve for x
    x = 1,036,082.21/1,109.80
  6. Step 6: Final answer
    x = 933.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.