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Finding the Fourth Proportional to 1,109.82, 1,664.37 and 561.90

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Solution

The fourth proportional to 1,109.82, 1,664.37 and 561.90 is: 842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.82 : 1,664.37 = 561.90 : x
  2. Step 2: Convert to fraction form
    1,109.82/1,664.37 = 561.90/x
  3. Step 3: Cross multiply
    1,109.82x = 1,664.37 × 561.90
  4. Step 4: Simplify right side
    1,109.82x = 935,209.50
  5. Step 5: Solve for x
    x = 935,209.50/1,109.82
  6. Step 6: Final answer
    x = 842.67

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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.