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Finding the Fourth Proportional to 1,111.30, 1,668.30 and 563.20

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Solution

The fourth proportional to 1,111.30, 1,668.30 and 563.20 is: 845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.30 : 1,668.30 = 563.20 : x
  2. Step 2: Convert to fraction form
    1,111.30/1,668.30 = 563.20/x
  3. Step 3: Cross multiply
    1,111.30x = 1,668.30 × 563.20
  4. Step 4: Simplify right side
    1,111.30x = 939,586.56
  5. Step 5: Solve for x
    x = 939,586.56/1,111.30
  6. Step 6: Final answer
    x = 845.48

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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.