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Finding the Fourth Proportional to 1,110.70, 1,664.65 and 563.02

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Solution

The fourth proportional to 1,110.70, 1,664.65 and 563.02 is: 843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.70 : 1,664.65 = 563.02 : x
  2. Step 2: Convert to fraction form
    1,110.70/1,664.65 = 563.02/x
  3. Step 3: Cross multiply
    1,110.70x = 1,664.65 × 563.02
  4. Step 4: Simplify right side
    1,110.70x = 937,231.24
  5. Step 5: Solve for x
    x = 937,231.24/1,110.70
  6. Step 6: Final answer
    x = 843.82

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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.